charged rod

L

Uniform Charged rod has L length

L

Total charge of rod is Q

Uniform Charged rod has L length

Uniform Charged rod has total charge Q

L

Total charge of rod is Q

P

Uniform Charged rod has L length

Uniform Charged rod has total charge Q

P is a point located along the long axis of charged rod

L

Total charge of rod is Q

P

a

Uniform Charged rod has L length

Uniform Charged rod has total charge Q

P is a point located along the long axis of charged rod

a is a distance from one end to point P

L

Total charge of rod is Q

P

a

Uniform Charged rod has L length

Uniform Charged rod has total charge Q

P is a point located along the long axis of charged rod

a is a distance from one end to point P

λ is charge density of charged rod

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment

Y - axis

Charge of small segment is dq

Small charged segment

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segment

Y - axis

Charge of small segment is dq

dx

Small charged segment

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to P

Y - axis

Small charged segment

Charge of small segment is dq

dxX

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to PdE is electric field at P due to small

segment

Y - axis

Small charged segment

Charge of small segment is dq

dxXE

dE

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to PdE is electric field at P due to small

segment

dE = k dq /X²

Y - axis

Small charged segment

Charge of small segment is dq

dxXE

dE

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to PdE is electric field at P due to small

segment

dE = k dq /X² = k λ dx / X²

Y - axis

Small charged segment

Charge of small segment is dq

dxXE

dE

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q = λ L

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to PdE is electric field at P due to small

segment

dE = k dq /X² = k λ dx / X²

Y - axis

Small charged segment

Charge of small segment is dq = λ dx

dxXE

dE

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q = λ L

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to PdE is electric field at P due to small

segment

dE = k dq /X² = k λ dx / X² Integration to obtain on E

Y - axis

Small charged segment

Charge of small segment is dq = λ dx

dxXE

dE

Uniform Charged rod has L length

L

Uniform Charged rod has total charge Q

Total charge of rod is Q = λ L

P is a point located along the long axis of charged rod

P

a is a distance from one end to point P

a

λ is charge density of charged rod

Solution:

Let the charged rod lying on X-axis

X - axis

Take a small charged segment from charged roddq is charge of small segment dx is length of small segmentX is length from small segment to PdE is electric field at P due to small

segment

dE = k dq /X² = k λ dx / X² Integration to obtain on E

Y - axis

Small charged segment

Charge of small segment is dq = λ dx

dxXE

dE