Chapter 25, Problem 034 In the figure a potential difference V 120 V is applied

Question

Chapter 25, Problem 034 In the figure a potential difference V 120 V is applied across a capacitor arrangement with capacitances C111.8 HF, C2 6.75 uF, and C3- 4.97 HF. What are (a) charge q3, (b) potential difference V3, and (c) stored energy U3 for capacitor 3, (d) q1, (e) V1, and (f) U1 for capacitor 1, and (g) q2, (h) V2, and (i) U2 for capacitor 2? (a) Number (b) Number (c) Number (d) Number (e) Number (f) Number (9) Number (h) Number (i) Number Units Units Units Units Units Units Units Units Units

Explanation / Answer

(a) q3 = C3*V3 = 4.97?F*120V = 596.4?C

(b)V3 = V = 120V

(c) U3 = 0.5*C3*V3^2 = 35784?J

Now, q1 = q2 as they are in series. So, C1V1= C2V2. So, V1= C2V2/C1 = 0.572V2.

Also, V1+V2= 120. So, 1.572V2= 120

So, V2= 76.33V and V1= 43.67V

(d) q1= C1V1= 515.3?C

(e)V1= 43.67V

(f) U1= 0.5*C1*V1^2= 11251.7?J

(g) q2= C2V2= 515.3?C

(h) V2= 76.33V

(i) U2= 0.5*C2*V2^2= 19663.66?J

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