There is a uniform electrostatic field in a
region. The potential at various points on
a small sphere centred at P, in the region,
is found to vary between the limits
589.0 V to 589.8 V. What is the potential
at a point on the sphere whose radius
vector makes an angle of 608 with the
direction of the field ?
(1) 589.5 V
(2) 589.2 V
(3) 589.4 V
(4) 589.6 V
Asked by modi72879
2nd April 2018,
7:17 PM
Answered by Expert
Answer:
The problem is illustrated in the figure. Potential varies from 589.0 V to 589.8 V as shown in figure. As given in the problem, for point Q, the radial line subtends an angle 60º with field direction. (this is assumed by me, because I feel there is typing error in the question). Hence it can be verified from figure point Q is below from the line of constant potential =589.0 V by [ 1 - (√3/2) ]×r, where r is the radius of sphere. Hence potential at Q is given by
VQ = 589.0+0.134×(0.8/2) = 589.536 V, so we can consider option (1) is the correct answer.
Answered by Expert
3rd April 2018,
12:32 PM
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