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AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy Physics Department

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Page 1: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 1 2013

Advanced Higher Physics Electromagnetism Solutions

Wallace Hall Academy Physics Department

Page 2: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 2 2013

Tutorial 1.0 Coulomb’s inverse square law and electric field strength

Page 3: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 3 2013

Page 4: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 4 2013

Tutorial 1.1 Coulomb's Inverse Square Law

Page 5: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 5 2013

Page 6: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 6 2013

Page 7: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 7 2013

Tutorial 2.0 Electric fields and electrostatic potential

Page 8: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 8 2013

Page 9: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 9 2013

Tutorial 2.1 Electric Field Strength

Page 10: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 10 2013

Page 11: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 11 2013

Page 12: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 12 2013

Tutorial 3.1 Electrostatic Potential

Page 13: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 13 2013

Page 14: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 14 2013

Page 15: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 15 2013

Tutorial 4.0 Charges in motion

Page 16: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 16 2013

Page 17: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 17 2013

Tutorial 4.1 Charges in Motion

Page 18: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 18 2013

Page 19: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 19 2013

Page 20: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 20 2013

Tutorial 5.0 Electromagnetism

Page 21: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 21 2013

Tutorial 5.1 Force on a Conductor

Page 22: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 22 2013

Page 23: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 23 2013

Tutorial 6.0 Motion in a magnetic field 1.

Page 24: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 24 2013

Page 25: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 25 2013

Page 26: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 26 2013

Tutorial 6.1 Charged Particles in Magnetic Fields

Page 27: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 27 2013

Page 28: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 28 2013

Page 29: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 29 2013

Page 30: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 30 2013

Tutorial 7.0

Capacitors in d.c. circuits Numerical answers:

(a) 50 × 10–3 C

(b) (i) 125 A (ii) current decreases exponentially

2. 05 F

3. 225 × 10–5 C

4. (a) 10 F

(b) 08 C

5. (b) 49 mF

6. (e) (i) 40 A

(ii) 40 × 102 C or 40 × 10–4 C 7. (e) 12 V 10. 8 ms 12. (b) (i) 8 s

(ii) 73 V

Page 31: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 31 2013

Tutorial 7.1 Capacitors in a.c. circuits

Numerical answers:

2. (a) 32 × 103

(b) 16 mA

3. (a) 500

(b) 64 F

4. (a) 024 A r.m.s

(b) 48 F

5. (a) 600 F

(b) 189 mA

(c) 566 V

6. (a) 4

(b) 27 × 10–4 F (actual values 4 and 30 × 10–4 F)

Page 32: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 32 2013

Tutorial 8.0 Self-inductance

Page 33: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

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Page 34: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 34 2013

Tutorial 8.1 Self-Inductance

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Tutorial 8.2

Inductors and a.c.

Numerical answers:

2. (a) 250 (b) 0·12 A

3. (a) 500

(b) 1·6 H 4. (a) 0·12 A

(b) 30 V

7. (b) (i) 64 × 10–6 F

(ii) 26 H (actual values 60 × 10–6 F and 26 H)

6.

5.

Page 38: Advanced Higher Physics Electromagnetism Solutions · AH Physics: Electromagnetism Problems Solutions Page 1 2013 Advanced Higher Physics Electromagnetism Solutions Wallace Hall Academy

AH Physics: Electromagnetism Problems Solutions Page 38 2013

Tutorial 9.0

Electromagnetic radiation

Numerical answers:

4. (a) 40 × 102 V m–1

(b) 45 × 1014 Hz

(c) (ii) 13 × 10–6 T

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AH Physics: Electromagnetism Problems Solutions Page 39 2013