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Electrostatics Exam2 and Problem Solutions


Electrostatics Exam2 and  Problem Solutions

1. Find the equivalent capacitance between points A and B.

If we redraw circuit given above;

1/Ceq1=1/2C+1/2C

Ceq1=1C

 1/Ceq2=1/4C+1/4C

Ceq2=2C

CAB=1C+2C+2C=5C

2. Find relation between the electrical energies stored in the capacitors.

Since capacitors are connected in parallels, potentials in each branch are equal.

 W1=1/2.6C.22=12C

 W2=1/2.3C.42=24C

 W3=1/2.3C.62=54C

W3 >W2 >W1

3. Neutral sphere A, positively charged sphere B and negatively charged sphere C are given below. If we touch B inside of the A and C to outside of the A, find the final charges of spheres.

When we touch B inside of A, all charges of B are transferred to A and B becomes neutral. When we touch C outside of A, it is positively charged. Final charges of spheres;

A: is positively charged

B: is neutral

C: is positively charged

4. A and B produce potential V at point X. If total potential at point X is -V, find qC.

VAB=k.q/d+k.2q/d=3k.q/d=V

VX=3k.q/d+k.qC/d=-V

3k.q/d+k.qC/d=-3k.q/d

qC=-6q

5. If the capacitance of first capacitor is C, find the capacitance of second capacitor.

C 10.A/d=C

C1=6ε0.A/2/2d=6/4ε0.A/d=3/2C


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