A uniform field of 8 N/C exists in space in positive x-dire…

Physics Electrostatics Potential & Capacitance Electric Potential and Potential Difference MCQ (Single Correct)

A uniform field of 8 N/C exists in space in positive x-direction.

Taking the potential at the origin to be zero, write an expression for the potential at a general point (x, y, z).

At which points, the potential is 160 V?

If the potential at the origin is taken to be 80V, what will be the expression for the potential at a general point?

What will be the potential at the origin if the potential at x = infinity is taken to be zero?

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

–(8V/m) x

points on the plane x = –20 m

80 V – (8 V/m) x

infinity

Sol.

V (x,y,z) – V (0, 0, 0) = – Ex

∴ V – 0 = – 8x

160 = – 8x; ∴ x = – 20

This equation represents a plane & all points on this plane have potential of 160 V

V – 80 = – 8 x

∴ V = 80 – 8x

V ∞ – V 0 = – 8x, (where, x = ∞ )

∴ 0 – V 0 = – 8 ( ∞ )

⇒ V 0 = ∞

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