For the circuit shown, which of the following statements is true ?

Question

For the circuit shown, which of the following statements is true ? (A) With S1 closed, V1=15V,V2=20V  (B) With S3 closed, V1=V2=25V  (C) With S1 and S2 closed, V1=V2=0  (D) With S3 closed, V1=30 V,V2=20 V

Tardigrade Admin · Accepted Answer

When S3 is closed, due to attraction with opposite charge, no flow of charge takes place through S3. Therefore, potential difference across capacitor plates remains unchanged or V1=30 V and V2=20 V. Alternate Solution Charges on the capacitors are q1=(30)(2)=60 pC and q2=(20)(3)=60 pC or q1=q2=q(say) The situation is similar as the two capacitors in series are first charged with a battery of emf 50 V and then disconnected. ∴ When S3 is closed, V1=30 V and V2=20 V.

Q. For the circuit shown, which of the following statements is true ?

$Wi t h S_{1} c l ose d, V_{1} = 15 V, V_{2} = 20 V$

$Wi t h S_{3} c l ose d, V_{1} = V_{2} = 25 V$

$Wi t h S_{1} an d S_{2} c l ose d, V_{1} = V_{2} = 0$

$Wi t h S_{3} c l ose d, V_{1} = 30 V, V_{2} = 20 V$

Q. For the circuit shown, which of the following statements is true ?

WithS1​closed,V1​=15V,V2​=20V

WithS3​closed,V1​=V2​=25V

WithS1​andS2​closed,V1​=V2​=0

WithS3​closed,V1​=30V,V2​=20V

$Wi t h S_{1} c l ose d, V_{1} = 15 V, V_{2} = 20 V$

$Wi t h S_{3} c l ose d, V_{1} = V_{2} = 25 V$

$Wi t h S_{1} an d S_{2} c l ose d, V_{1} = V_{2} = 0$

$Wi t h S_{3} c l ose d, V_{1} = 30 V, V_{2} = 20 V$