ON-CAPA Mty4P x cli Seoure https://loncaoa science.ucit.canes/uorie/Physics%201u

Question

ON-CAPA Mty4P x cli Seoure https://loncaoa science.ucit.canes/uorie/Physics%201u4%20 %20Potential'Masten.4 Potentiel.probiem.L3 1 Switch A B C2 100 V CI nitially, the switch in the figure provided is in position A and capacitors C2 and C3 are uncharged. The switch is then flipped to position B. If 1 13.7 F, C2-25.1 F and C3-37.1 F, what is the charge on and the potential difference across each capacitor after the switch has been flipped? Charge on C1: Charge on C2: Charge on C3: Potential difference across C1 Potential difference across 2: Potential difference across C: e Saarch Vindows

Explanation / Answer

Initial charge n C1, Q = C1*V

= 13.7*100

= 1370 micro C

when switch is shipfted to B,

Ceq = C1 + C2*C3/(C2+C3)

= 13.7 + 25.1*37.1/(25.1 + 37.1)

= 28.67 micro F

so, potential diffrence across C1, V1 = Q/Ceq

= 1370/28.67

= 47.8 Volts

charge on C1, Q1 = C1*V1 = 13.7*47.8 = 655 micro C

charge on C2, Q2 = Q - Q1 = 1370 - 655 = 715 micro C

charge C3, Q3 = Q2 = 715 micro C

potential difference across C1, V1 = 47.8 volts

Potnetial difference across C2, V2 = Q2/C2 = 715/25.1 = 28.5 Volts

Potnetial difference across C3, V3 = Q3/C3 = 715/37.1 = 19.3 Volts

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