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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsElectric Field & ForceMedium2 minQB

PhysicsMediummultiple choice

Two point charges are located on the x-axis. The first is a charge +Q at x = -a. The second is an unknown charge located at $x = + 3 a$ . The net electric field these charges produce at the origin has a magnitude of $\frac{2 kQ}{a ^{2}}$ . What are the possible value (s) of the unknown charge ?

Options:(select one or more)

Answer:

A, C

Solution:

Field at the origin due to $+ Q$ at $x = - a$ is $\frac{k Q}{a ^{2}}$ along $+ x$ .

If $q = - 9 Q$ at $x = 3 a$ , it adds $\frac{k Q}{a ^{2}}$ along $+ x$ : total $\frac{2 k Q}{a ^{2}}$ - (A) correct.

If $q = + 27 Q$ , it contributes $\frac{3 k Q}{a ^{2}}$ along $- x$ : net magnitude $\frac{2 k Q}{a ^{2}}$ - (C) correct.

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: QB

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