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NEET PHYSICSMedium

A positively charged ball hangs from a silk thread. We put a positive test charge q₀ at a point and measure F/q₀, then it can be predicted that the electric field strength E

A

F/q₀

B

#ERROR!

C

< F/q₀

D

Cannot be estimated

Step-by-Step Solution

The electric field intensity E\mathbf{E} is rigorously defined as the limit of the force per unit charge as the test charge magnitude approaches zero: E=limq00Fq0\mathbf{E} = \lim_{q_0 \to 0} \frac{\mathbf{F}}{q_0} . This condition ensures that the test charge q0q_0 does not disturb the source charge distribution. In this scenario, placing a finite positive test charge q0q_0 near a positively charged ball creates a repulsive force. This repulsion causes the mobile charges on the conducting ball to redistribute to the far side (induction) or physically pushes the hanging ball away from the test charge . Both effects increase the effective distance between the charges, resulting in a measured force FF that is smaller than the force that would exist if the source remained undisturbed. Consequently, the measured ratio F/q0F/q_0 underestimates the true electric field strength. Therefore, E>F/q0E > F/q_0.

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