-16. Two capacitors with capacitances of 1.0 and 0.50 ?, respectively, are conne

Question

-16. Two capacitors with capacitances of 1.0 and 0.50 ?, respectively, are connected in series. The system connected to a 100-V battery. What charge accumulates on the 1.0-F capacitor? a. 33 uC b. 150 C c. 100 C d. 50 C 17. Doubling the voltage across a parallel plate capacitor does not double which of the following? a. the electric field between the plates b. the charge c. the energy stored d. both a and b 18. Charges of 4.0 and-6.0 pC are placed at two corners of an equilateral triangle with sides of 0.1 At the third corner, what is the electric field magnitude created by these two charges? (k, 8.99 4.5 x 106 N/C 3.1 x 10 N/C 1.6×106 N/C 4.8 x 10% N/C a. b. d.

Explanation / Answer

16.

When two capacitors are connected in series, then

Ceq = C1*C2/(C1 + C2)

Ceq = 1*0.5/(1 + 0.5) = 0.33 uF

Qeq = Ceq*V

Qeq = 0.33*100 = 33 uC

Now in series charge on each capacitor will be same and equal to total charge in battery

Charge in 1 uF capacitor = 33 uC

Correct option is A

17.

In capacitor

We know that

Q = C*V, So for same capacitor

Charge is directly proportional to Voltage

which means if voltage doubled then charge will also be doubled.

Electric field is given by:

E = V/d

Again E is directly proportional to V, So

when V doubled, E will also doubles

Energy stored is given by:

U = 0.5*C*V^2

For same C, U is directly proportional to the square of V, So

when Voltage doubles, Energy stored will be four times the original energy.

Correct option is C.

Please Upvote.

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