(Assume the negative charge is located to the right of the positive charge. Incl

Question

(Assume the negative charge is located to the right of the positive charge. Include the sign of the value in your answers.)

(a) Where can a third charge be placed so that the net force on it is zero?

(b) What if both charges are positive?    

7 7. -12 points OSColPhys1 18.3.025. Point charges of 4.50 C and -1.75 HC are placed 0.300 m apart. (Assume the negative charge is located to the right of the positive charge. Include the sign of the value in your answers.) (a) Where can a third charge be placed so that the net force on it is zero? m to the right of the -1.75 HC charge (b) What if both charges are positive? m to the right of the 1.75 C charge Additional Materials

Explanation / Answer

Here ,

q1 = 4.5 uC

q2 = -1.75 uC

d = 0.30 m

a) let the distance from the -1.75 uC charge is x

for net force on the third charges to be zero

net electric field must be zero

k * q1/(d + x)^2 - k * q2/x^2 = 0

4.5/(0.30 + x)^2 - 1.75/x^2 = 0

solving for x

x = 0.497 m

third charge should be placed 0.497 m right of -1.75 uC

b)

if both charges are positive

third charge must be placed in between the charges

for net force on the third charges to be zero

net electric field must be zero

k * q1/(d - x)^2 - k * q2/x^2 = 0

4.5/(0.30 - x)^2 - 1.75/x^2 = 0

solving for x

x = 0.115 m

third charge should be placed - 0.115 m right of the negative charge

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