Two students Jack and Jill are assigned an experiment to test the final values t

Question

Two students Jack and Jill are assigned an experiment to test the final values that charges acquire after being touched and separated. The instructions provided are as follows. Step 1: A touch B then separate. Step 2: B touch C then separate. Step 3: C touch D then separate. Jack goes to the lab alone and performs the experiment according to instructions and leaves. Jill comes to the lab later, the exact the experiment not realizing that her partner had just completed the experiment. Determine the final value of charge D after this second trial. A = 12 mu C C = 8 mu C B = -10 mu C D = -15 mu C A -5.25 mu C B 2.75 mu C C -0.813 mu C D 3.63 mu C

Explanation / Answer

Initially

Charge on A = 12 C

Charge on B = - 10 C

Charge on C = 8 C

Charge on D = -15 C

During first trial,

When A touches B and separates,

The charge on A = 1 C

Charge on B = 1 C

When B touches C and separates,

The charge on B = 4.5 C

Charge on C = 4.5 C

When C touches D and separates,

The charge on C = - 5.25 C

Charge on D = - 5.25 C

Now when Jill comes

Charge on A = 1 C

Charge on B = 4.5 C

Charge on C = - 5.25 C

Charge on D = - 5.25 C

During second trial,

When A touches B and separates,

The charge on A = 2.75 C

Charge on B = 2.75 C

When B touches C and separates,

The charge on B = -1.25 C

Charge on C = -1.25 C

When C touches D and separates,

The charge on C = - 3.25 C

Charge on D = - 3.25 C

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