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CE Two electric charges are separated by a finite

Chapter 19, Problem 42P

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QUESTION:

Problem 42P

CE Two electric charges are separated by a finite distance. Somewhere between the charges, on the line connecting them, the net electric field they produce is zero, (a) Do the charges have the same or opposite signs? Explain, (b) If the point of zero field is closer to charge 1, is the magnitude of charge 1 greater than or less than the magnitude of charge 2? Explain.

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QUESTION:

Problem 42P

CE Two electric charges are separated by a finite distance. Somewhere between the charges, on the line connecting them, the net electric field they produce is zero, (a) Do the charges have the same or opposite signs? Explain, (b) If the point of zero field is closer to charge 1, is the magnitude of charge 1 greater than or less than the magnitude of charge 2? Explain.

ANSWER:

Step 1 of 3

(a)

Here we need to comment whether charges should have same or opposite signs, in order to have net electric field as zero between the charges on the line joining two charges.

When both the charge are of same sign, the equilibrium or zero net field point can exist between the two charges on the line joining charges, as shown in the figure below.

Where  is force exerted by the charge 1 on charge ,  is charge force by the charge 2 on charge

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