Class 12

18. Electric Charges And Field question bank (Physics)

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Q1.

A conducting sphere of radius \( R \) is given a charge \( Q \). The electric potential and the electric field at the centre of the sphere are respectively:

(A)

Zero and \( \frac{Q}{4\pi\varepsilon_0 R^2} \)

(B)

\( \frac{Q}{4\pi\varepsilon_0 R} \) and Zero

(C)

\( \frac{Q}{4\pi\varepsilon_0 R} \) and \( \frac{Q}{4\pi\varepsilon_0 R^2} \)

(D)

Both are zero

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Q2.

In a region, the potential is represented by
\( V(x, y, z) = 6x - 8xy - 8y + 6yz \),
where \( V \) is in volts and \( x, y, z \) are in metres.
The electric force experienced by a charge of \( 2\,\text{C} \) situated at the point \( (1, 1, 1) \) is:

(A)

\( 6\sqrt{5}\,\text{N} \)

(B)

\( 30\,\text{N} \)

(C)

\( 24\,\text{N} \)

(D)

\( 4\sqrt{35}\,\text{N} \)

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