Question

Electric field in a region is $E=5\times {10}^{5}N{C}^{-1}$ making an angle of ${37}^{\circ }$ with x-axis. The magnitude of the potential difference between origin and point cm is

• A. 24 V
• B. 36 kV
• C. 34 kV
• D. 20kV

Answer 1

The correct option is B

36 kV

$E_x=5\times 105\times cos{37}^{\circ }=4\times {10}^{5}N{C}^{-1}$
$E_y=5\times 105\times cos{37}^{\circ }=3\times {10}^{5}N{C}^{-1}$
We have,
$△V=-\int E_{x}dx-\int E_{y}dx$
=$-4\times {10}^5\underset{0}{\overset{6cm}{\int }}dx-3\times {10}^5\underset{0}{\overset{4cm}{\int }}dy$
=-36kV.