circuit theory nov-dec 2014
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8/9/2019 Circuit Theory NOV-DeC 2014
1/12
1. An electrical appliances consumes 1.2KWh in 30 mins
at 120V.What is the current drawn by the appliances?
(ANNA N!V N"V#$%& 201'()e* 2013
2. &alculate the e+ui,alent resistance between the
terminals -a -and -b /i*.1(ANNA N!V N"V#$%& 201'
()e* 2013
3. &alculate the ,alue o !N or the circuit shown in /i*.2.
(ANNA N!V N"V#$%& 201'()e* 2013
'. tate maimum power transer theorem or $&
networs. (ANNA N!V N"V#$%& 201'()e* 2013
4. &alculate the total inductance o the circuit5 i the
coe6cient o couplin* ( between the two coils is
0.75as shown in /i*.3. (ANNA N!V N"V#$%& 201'()e*
2013
7. $e8ne the +uality actor o a series resonant circuit.
(ANNA N!V N"V#$%& 201'()e* 2013
9. A coil resistance 2.2: and an inductance 0.01; isconnected in series with a capacitor across 220V
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8/9/2019 Circuit Theory NOV-DeC 2014
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mains. /ind the ,alue o capacitance such that
maimum current .Also 8nd the maimum current. (ANNA N!V
N"V#$%& 201'()e* 2013
. A 40@/ capacitor is dischar*ed throu*h a 100K:
resistor. ! the capacitor is initially char*ed to
'00V5determine the initial ener*y. (ANNA N!V N"V#
$%& 201'()e* 2013
=. Write the e+uations or the phasor dierence between
potentials o the delta#connected networs. (ANNA
N!V N"V#$%& 201'()e* 2013
10. Bhree coils5 each ha,in* a resistance o 20: and
an inducti,e reactance o 14: are connected in star toa '00V5 3#phase5 and 40;> supply. &alculate (a the line
current5 (b power actor5 and (c power supplied.
(ANNA N!V N"V#$%& 201'()e* 2013
11. (a (i sin* node analysis5 8nd the node ,olta*es and
the currents throu*h all resistors or the circuit shown in
/i*.'. (12 (ANNA N!V N"V#$%& 201'()e* 2013
(ii /ind the e+ui,alent resistance between the terminals CaD
and CbDor the networ shown in /i*.4. (' (ANNA N!V N"V#
$%& 201'()e* 2013
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8/9/2019 Circuit Theory NOV-DeC 2014
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(b/or the circuit shown in /i*.7.8nd the (i currents in
dierent branches5 (ii current supplied by the battery5 (iii
potential dierence between terminals A and E (17 (ANNA
N!V N"V#$%& 201'()e* 2013
12. (a /ind the current !5 throu*h the 20: resistor shown in
/i*.9. usin* Bhe,eninDs theorem (17 (ANNA N!V N"V#$%&
201'()e* 2013
(b/ind the current throu*h 4: resistor usin* superposition
theorem5 in the circuit shown in /i*.. (17 (ANNA N!V N"V#
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8/9/2019 Circuit Theory NOV-DeC 2014
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$%& 201'()e* 2013
13. (a !mpedance F1 and F2 are parallel and this
combination is in series wit an impedance F35 connected to a
100V5 40;> ac supply. F1G(4#HIc :5 F2G(4JH0 :5
F3G(7.24JH1.24$etermine the ,alue o capacitance such
that the current o the circuit will be in phase with the total,olta*e. /ind the circuit current power. (17 (ANNA N!V
N"V#$%& 201'()e* 2013
(b Bhe switch in the circuit shown in /i*.= is mo,ed rom
position 1 to 2 a tG0./ind the epression or ,olta*es across
resistance and capacitor5 ener*y in the capacitor or t0.
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8/9/2019 Circuit Theory NOV-DeC 2014
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(17 (ANNA N!V N"V#$%& 201'()e* 2013
1'(a(i /or a ma*netically coupled circuit5 deri,e theepression or mutual inductance (m in terms L1 and L2. (7
(ANNA N!V N"V#$%& 201'()e* 2013
(ii /or the coupled circuit shown in /i*.10. /ind the ,alue o
V2 so that the current !1G0. (10 (ANNA N!V N"V#$%& 201'
-
8/9/2019 Circuit Theory NOV-DeC 2014
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()e* 2013
(bWith neat illustration5 describe the parallel resonant
circuit and the e+ui,alent parallel networ or a series )L
combination. Also deri,e the unity power actor5 fp (17
(ANNA N!V N"V#$%& 201'()e* 2013
14. (a how that three#phase power can be measured by
two wattmeters. $raw the phasor dia*rams. $eri,e an
epression or power actor interms o wattmeter readin*s.
(17 (ANNA N!V N"V#$%& 201'()e* 2013
(b(iA '00V (line to line is applied to three star connected
identical impedances each consistin* o a ': resistance in
series with 3: inducti,e reactance. /ind the (1 line current
(2 total power supplied ( (ANNA N!V N"V#$%& 201'()e*2013
(ii Bhree star#connected impedances F1G(20JH39.9 :5 per
phase are in parallel wit three delta#connected impedances
F2G(30#H14=.3 : per phase. Bhe line ,olta*e is 3= ,olts.
/ind the line current5 power actor5 power and reacti,e ,olt#
ampere taen by the combination. ( (ANNA N!V N"V#$%&
201'()e* 2013
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8/9/2019 Circuit Theory NOV-DeC 2014
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nit 11. An electrical appliances consumes 1.2KWh in 30 mins
at 120V.What is the current drawn by the appliances?
(ANNA N!V N"V#$%& 201'()e* 2013
2. &alculate the e+ui,alent resistance between theterminals -a -and -b /i*.1(ANNA N!V N"V#$%& 201'
()e* 2013
11. (a (i sin* node analysis5 8nd the node ,olta*es and
the currents throu*h all resistors or the circuit shown in
/i*.'. (12 (ANNA N!V N"V#$%& 201'()e* 2013
(ii /ind the e+ui,alent resistance between the terminals CaD
and CbDor the networ shown in /i*.4. (' (ANNA N!V N"V#
$%& 201'()e* 2013
-
8/9/2019 Circuit Theory NOV-DeC 2014
8/12
(b/or the circuit shown in /i*.7.8nd the (i currents in
dierent branches5 (ii current supplied by the battery5 (iii
potential dierence between terminals A and E (17 (ANNA
N!V N"V#$%& 201'()e* 2013
nit 21. &alculate the ,alue o !N or the circuit shown in /i*.2.
(ANNA N!V N"V#$%& 201'()e* 2013
2. tate maimum power transer theorem or $&
networs. (ANNA N!V N"V#$%& 201'()e* 2013
-
8/9/2019 Circuit Theory NOV-DeC 2014
9/12
12. (a /ind the current !5 throu*h the 20: resistor shown in
/i*.9. usin* Bhe,eninDs theorem (17 (ANNA N!V N"V#$%&
201'()e* 2013
(b/ind the current throu*h 4: resistor usin* superposition
theorem5 in the circuit shown in /i*.. (17 (ANNA N!V N"V#
$%& 201'()e* 2013
nit 31. &alculate the total inductance o the circuit5 i the
coe6cient o couplin* ( between the two coils is
0.75as shown in /i*.3. (ANNA N!V N"V#$%& 201'()e*
2013
-
8/9/2019 Circuit Theory NOV-DeC 2014
10/12
2. $e8ne the +uality actor o a series resonant circuit.
(ANNA N!V N"V#$%& 201'()e* 2013
13. (a !mpedance F1 and F2 are parallel and this
combination is in series wit an impedance F35 connected to a
100V5 40;> ac supply. F1G(4#HIc :5 F2G(4JH0 :5
F3G(7.24JH1.24$etermine the ,alue o capacitance suchthat the current o the circuit will be in phase with the total
,olta*e. /ind the circuit current power. (17 (ANNA N!V
N"V#$%& 201'()e* 2013
(b Bhe switch in the circuit shown in /i*.= is mo,ed rom
position 1 to 2 a tG0./ind the epression or ,olta*es across
resistance and capacitor5 ener*y in the capacitor or t0.
(17 (ANNA N!V N"V#$%& 201'()e* 2013
-
8/9/2019 Circuit Theory NOV-DeC 2014
11/12
nit '1. A coil resistance 2.2: and an inductance 0.01; is
connected in series with a capacitor across 220V
mains. /ind the ,alue o capacitance such that
maimum current .Also 8nd the maimum current. (ANNA N!V
N"V#$%& 201'()e* 2013
2. A 40@/ capacitor is dischar*ed throu*h a 100K:
resistor. ! the capacitor is initially char*ed to
'00V5determine the initial ener*y. (ANNA N!V N"V#
$%& 201'()e* 2013
1'(a(i /or a ma*netically coupled circuit5 deri,e the
epression or mutual inductance (m in terms L1 and L2. (7
(ANNA N!V N"V#$%& 201'()e* 2013
(ii /or the coupled circuit shown in /i*.10. /ind the ,alue o
V2 so that the current !1G0. (10 (ANNA N!V N"V#$%& 201'
()e* 2013
(bWith neat illustration5 describe the parallel resonant
circuit and the e+ui,alent parallel networ or a series )L
combination. Also deri,e the unity power actor5 fp (17 (ANNA N!V N"V#$%& 201'()e* 2013
-
8/9/2019 Circuit Theory NOV-DeC 2014
12/12
nit 41. Write the e+uations or the phasor dierence between
potentials o the delta#connected networs. (ANNA
N!V N"V#$%& 201'()e* 2013
2. Bhree coils5 each ha,in* a resistance o 20: and an
inducti,e reactance o 14: are connected in star to a
'00V5 3#phase5 and 40;> supply. &alculate (a the line
current5 (b power actor5 and (c power supplied.
(ANNA N!V N"V#$%& 201'()e* 2013
14. (a how that three#phase power can be measured by
two wattmeters. $raw the phasor dia*rams. $eri,e an
epression or power actor interms o wattmeter readin*s.
(17 (ANNA N!V N"V#$%& 201'()e* 2013
(b(iA '00V (line to line is applied to three star connected
identical impedances each consistin* o a ': resistance in
series with 3: inducti,e reactance. /ind the (1 line current
(2 total power supplied ( (ANNA N!V N"V#$%& 201'()e*
2013
(ii Bhree star#connected impedances F1G(20JH39.9 :5 per
phase are in parallel wit three delta#connected impedancesF2G(30#H14=.3 : per phase. Bhe line ,olta*e is 3= ,olts.
/ind the line current5 power actor5 power and reacti,e ,olt#
ampere taen by the combination. ( (ANNA N!V N"V#$%&
201'()e* 2013
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