A point charge 2 × 10 – 2   C is moved from P to S in a uniform electric field of 30   N   C – 1 directed along positive x -axis. If coordinates of P and S are ( 1 ,   2 ,   0 )   m   and   ( 0 ,   0 ,   0 )   m respectively,…

Question

A point charge 2 &#215; 10 &#8211; 2 &#160; C is moved from P to S in a uniform electric field of 30 &#160; N &#160; C &#8211; 1 directed along positive x -axis. If coordinates of P and S are ( 1 , &#160; 2 , &#160; 0 ) &#160; m &#160; and &#160; ( 0 , &#160; 0 , &#160; 0 ) &#160; m respectively, the work done by electric field will be

Aicharya · Accepted Answer

As electric field is uniform, so force acting on the charged particle will be uniform.

Therefore,

$W_{E} = \vec{F} \cdot \vec{s} = q \vec{E} \cdot \vec{s}$

$= (2 \times 10^{- 2}) [30 \hat{i} \cdot [(0 \hat{i} + 0 \hat{j} + 0 \hat{k}) - (\hat{i} + 2 \hat{j} + 0 \hat{k})]]$

$= - 60 \times 10^{- 2} J$

$= - 600 mJ$

A point charge 2 × 10 – 2   C is moved from P to S in a uniform electric field of 30  …

Solution

A point charge 2 &#215; 10 &#8211; 2 &#160; C is moved from P to S in a uniform electric field of 30 &#160;…

Solution

A point charge 2 × 10 – 2 C is moved from P to S in a uniform electric field of 30 …