a cube of a metal is given a positive charge q for this

A cube of a metal is given a positive charge $$Q.$$ For this system, which of the following statements is true?

A. Electric potential at the surface of the cube is zero

B. Electric potential within the cube is zero

C. Electric field is normal to the surface of the cube

D. Electric field varies within the cube

Answer : Electric field varies within the cube

Solution :
Surface of metallic cube is an equipotential surface. Therefore, electric field is normal to the surface of the cube.

Releted MCQ Question on
Electrostatics and Magnetism >> Electric Potential

Releted Question 1

If potential (in volts) in a region is expressed as $$V\left( {x,y,z} \right) = 6xy - y + 2yz,$$ electric field (in $$N/C$$ ) at point $$\left( {1,1,0} \right)$$ is

A. $$ - \left( {3\hat i + 5\hat j + 3\hat k} \right)$$

B. $$ - \left( {6\hat i + 5\hat j + 2\hat k} \right)$$

C. $$ - \left( {2\hat i + 3\hat j + \hat k} \right)$$

D. $$ - \left( {6\hat i + 9\hat j + \hat k} \right)$$

View Answer

Releted Question 2

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

A. zero and $$\frac{Q}{{4\pi {\varepsilon _0}{R^2}}}$$

B. $$\frac{Q}{{4\pi {\varepsilon _0}R}}$$ and zero

C. $$\frac{Q}{{4\pi {\varepsilon _0}R}}{\text{and}}\frac{Q}{{4\pi {\varepsilon _0}{R^2}}}$$

D. Both and zero

View Answer

Releted Question 3

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

A. $$6\sqrt 5 N$$

B. $$30\,N$$

C. $$24\,N$$

D. $$4\sqrt {35} \,N$$

View Answer

Releted Question 4

Four point charges $$ - Q, - q,2q$$ and $$2Q$$ are placed, one at each corner of the square. The relation between $$Q$$ and $$q$$ for which the potential at the centre of the square is zero, is

A. $$Q = - q$$

B. $$Q = - \frac{1}{q}$$

C. $$Q = q$$

D. $$Q = \frac{1}{q}$$

View Answer

A cube of a metal is given a positive charge $$Q.$$ For this system, which of the following statements is true?

Releted MCQ Question on
Electrostatics and Magnetism >> Electric Potential

If potential (in volts) in a region is expressed as $$V\left( {x,y,z} \right) = 6xy - y + 2yz,$$ electric field (in $$N/C$$ ) at point $$\left( {1,1,0} \right)$$ is

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

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

Four point charges $$ - Q, - q,2q$$ and $$2Q$$ are placed, one at each corner of the square. The relation between $$Q$$ and $$q$$ for which the potential at the centre of the square is zero, is

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A cube of a metal is given a positive charge $$Q.$$ For this system, which of the following statements is true?

Releted MCQ Question on Electrostatics and Magnetism >> Electric Potential

If potential (in volts) in a region is expressed as $$V\left( {x,y,z} \right) = 6xy - y + 2yz,$$ electric field (in $$N/C$$ ) at point $$\left( {1,1,0} \right)$$ is

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

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

Four point charges $$ - Q, - q,2q$$ and $$2Q$$ are placed, one at each corner of the square. The relation between $$Q$$ and $$q$$ for which the potential at the centre of the square is zero, is

Practice More Releted MCQ Question on Electric Potential

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Releted MCQ Question on
Electrostatics and Magnetism >> Electric Potential

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Electric Potential