A point charge q is held at the centre of a circle of radius r . B, C are two points on the circumference of the circle and A is a point outside the circle. If WA B represents work done by electric field in taking a charge q0 from A to B and W AC represents the workdone from A to C, then

Question

A point charge q is held at the centre of a circle of radius r . B, C are two points on the circumference of the circle and A is a point outside the circle. If WA B represents work done by electric field in taking a charge q0 from A to B and W AC represents the workdone from A to C, then (A) WA B>WA C (B) WA B < WA C (C) WA B=WA c ≠ 0 (D) WA B=WA C=0

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f7b4e026cb110d31f2a6a8e04df89d8f-.png" /> WA B=UB-UA=q0(VB-VA) WA C=UC-UA=q0(VC-VA) As VB-Vc WA B=WA C

$W_{A B} > W_{A C}$

$W_{A B} < W_{A C}$

$W_{A B} = W_{A c} \neq = 0$

$W_{A B} = W_{A C} = 0$

$W_{A B} = U_{B} - U_{A} = q_{0} (V_{B} - V_{A})$
$W_{A C} = U_{C} - U_{A} = q_{0} (V_{C} - V_{A})$
As $V_{B} - V_{c}$
$W_{A B} = W_{A C}$

Q. A point charge q is held at the centre of a circle of radius r.B,C are two points on the circumference of the circle and A is a point outside the circle. If WAB​ represents work done by electric field in taking a charge q0​ from A to B and WAC​ represents the workdone from A to C, then

WAB​>WAC​

WAB​<WAC​

WAB​=WAc​=0

WAB​=WAC​=0

WAB​=UB​−UA​=q0​(VB​−VA​) WAC​=UC​−UA​=q0​(VC​−VA​) As VB​−Vc​ WAB​=WAC​

$W_{A B} > W_{A C}$

$W_{A B} < W_{A C}$

$W_{A B} = W_{A c} \neq = 0$

$W_{A B} = W_{A C} = 0$

$W_{A B} = U_{B} - U_{A} = q_{0} (V_{B} - V_{A})$
$W_{A C} = U_{C} - U_{A} = q_{0} (V_{C} - V_{A})$
As $V_{B} - V_{c}$
$W_{A B} = W_{A C}$