part a) Given a charge of -5.4 x 10-12 C for q2, determine the magnitude of the electric field at point P. Express your answer in N/C. Do not include the angle. part b) Using a new value of -5 nC for q2, determine the charge needed at point P so that the electric field due to all four charges is zero at point z. Express your answer in nC and include a negative sign if the charge is negative.
part a) Given a charge of -5.4 x 10-12 C for q2, determine the magnitude of the electric field at point P. Express your answer in N/C. Do not include the angle.
part b) Using a new value of -5 nC for q2, determine the charge needed at point P so that the electric field due to all four charges is zero at point z. Express your answer in nC and include a negative sign if the charge is negative.
Part a)
Analyze the following figure.
The electric field at P due to q1 can be represented as,
Here, k, q1, and r1 represent the coulomb’s law constant, the charge’s magnitude, and the distance from the point P, respectively.
Substitute the relevant values.
For charge q3,
Substitute the relevant values.
Now, for charge q2,
Substitute the relevant values.
The net electric field at P can be determined as,
The electric field’s magnitude can be represented as,
Substitute the relevant values.
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