a negative Charge of -0.550 mc exerts an upward +2.00N force on an unknown charg

Question

a negative Charge of -0.550 mc exerts an upward +2.00N force on an unknown charge 0.3 m directly below it. What is the unknown charge (magnitude and sign) ? What are the magnitude and direction of the electric force that the unknown charge exerts on the -0.550 mc charge? a negative Charge of -0.550 mc exerts an upward +2.00N force on an unknown charge 0.3 m directly below it. What is the unknown charge (magnitude and sign) ? What are the magnitude and direction of the electric force that the unknown charge exerts on the -0.550 mc charge? a negative Charge of -0.550 mc exerts an upward +2.00N force on an unknown charge 0.3 m directly below it. What is the unknown charge (magnitude and sign) ? What are the magnitude and direction of the electric force that the unknown charge exerts on the -0.550 mc charge?

Explanation / Answer

let Q1 = -0.55 mC

Q2 is the other charge.

here Q2 should be positive.

Apply, F = k*Q1*Q2/d^2

Q2 = F*d^2/(k*Q1)

= 2*0.3^2/(9*10^9*(0.55*10^-3))

= 3.64*10^-8 C

the magnitude and direction of the electric force that the unknown charge exerts on the -0.550 mc charge is 2N

direction is downward

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