First slide

Electric flux

Question

In a certain region of space, there exists a uniform electric field of value $20 \times 10^{2} \hat{k} {Vm}^{- 1}$ . A rectangular coil of dimension 10 cm x 20 cm is placed in the xy plane. The electric flux through the coil is

Easy

A

zero
B

30 Vm
C

40 Vm
D

50 Vm

Solution

$\begin{array}{l} G i v e n : \vec{E} = 2000 \hat{k} V m^{- 1} a n d \vec{A} = 10 \times 20 \times 10^{- 4} \hat{k} m^{2} \\ \Rightarrow ϕ = \vec{E} \cdot \vec{A} = 40 Vm \end{array}$

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