Question

In: Physics

a) A charge of 1C is affixed to the x axis at 20cm and a charge...

a) A charge of 1C is affixed to the x axis at 20cm and a charge of 4C is affixed at -10cm, where must a charge of -10C be placed in order to have zero electrostatic force on it?

b) If instead, a charge of -3C is placed somewhere on the x-axis, where must it be placed so that the origin (0,0) will experience zero electric field?

Please include detailed NEAT explanation.

Expert Solution

a)

Let distance between charge 1 C and -10C be x

and distance between charge 4 C and -10C be (30-x)cm

We know

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In order to have Zero electrostatic force on charge-10C ,Forces F₁ and F₂ should be equal

Solve quadratic equation using a calculator

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ANSWER:Charge -10C must be placed at +10cm on the x axis

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b)If instead, a charge of -3C is placed somewhere on the x-axis, where must it be placed so that the origin (0,0) will experience zero electric field?

First find electric field from charges 1C and 4C

We know

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First find net electric field at origin without -3C

in the same direction as E₂

so -3C must be placed in -x axis to counter the electric field and the value must be equal to E

ANSWER:

ANSWER:Charge -3C must be placed at -8.94cm on the -x axis

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