The electric potential V(x) in a region around the origin is given by V(x) = 4x2 volts. The electric charge enclosed in a cube of 1 m side with its centre at the origin is (in coulomb)

Question

The electric potential V(x) in a region around the origin is given by V(x) = 4x2 volts. The electric charge enclosed in a cube of 1 m side with its centre at the origin is (in coulomb) (A) 8ε0 (B) -4ε0 (C) 0 (D) -8ε0

Tardigrade Admin · Accepted Answer

Charges reside only on the outer surface of a conductor with cavity.

Q. The electric potential $V (x)$ in a region around the origin is given by $V (x) = 4 x^{2}$ volts. The electric charge enclosed in a cube of 1 m side with its centre at the origin is (in coulomb)

$8 ε_{0}$

$- 4 ε_{0}$

$0$

$- 8 ε_{0}$

Charges reside only on the outer surface of a conductor with cavity.

Q. The electric potential V(x) in a region around the origin is given by V(x)=4x2 volts. The electric charge enclosed in a cube of 1 m side with its centre at the origin is (in coulomb)

8ε0​

−4ε0​

0

−8ε0​

Charges reside only on the outer surface of a conductor with cavity.

Q. The electric potential $V (x)$ in a region around the origin is given by $V (x) = 4 x^{2}$ volts. The electric charge enclosed in a cube of 1 m side with its centre at the origin is (in coulomb)

$8 ε_{0}$

$- 4 ε_{0}$

$0$

$- 8 ε_{0}$