In figure, three capacitors C1, C2, and C3 are joined to a battery. With symbols having their usual meaning, the correct conditions will be

Question

In figure, three capacitors C1, C2, and C3 are joined to a battery. With symbols having their usual meaning, the correct conditions will be (A) Q1=Q2=Q3 and V1=V2=V3+V (B) Q1=Q2+Q3 and V=V1+V2+V3 (C) Q1=Q2+Q3 and V=V1+V2 (D) Q2=Q3 and V2=V3

Tardigrade Admin · Accepted Answer

At junction A, Q1 will be divided into Q2 and Q3. Hence, Q1=Q2+Q3 . C2 and C3 are in parallel, so potential on them will be the same, i.e., V2=V3. V will be divided into V1 and V2 (or .V3) .. Hence, V=V1+V2 or V=V1+V3

Q. In figure, three capacitors $C_{1}, C_{2}$ , and $C_{3}$ are joined to a battery. With symbols having their usual meaning, the correct conditions will be

$Q_{1} = Q_{2} = Q_{3}$ and $V_{1} = V_{2} = V_{3} + V$

$Q_{1} = Q_{2} + Q_{3}$ and $V = V_{1} + V_{2} + V_{3}$

$Q_{1} = Q_{2} + Q_{3}$ and $V = V_{1} + V_{2}$

$Q_{2} = Q_{3}$ and $V_{2} = V_{3}$

Q. In figure, three capacitors C1​,C2​, and C3​ are joined to a battery. With symbols having their usual meaning, the correct conditions will be

Q1​=Q2​=Q3​ and V1​=V2​=V3​+V

Q1​=Q2​+Q3​ and V=V1​+V2​+V3​

Q1​=Q2​+Q3​ and V=V1​+V2​

Q2​=Q3​ and V2​=V3​

At junction A,Q1​ will be divided into Q2​ and Q3​. Hence, Q1​=Q2​+Q3​.C2​ and C3​ are in parallel, so potential on them will be the same, i.e., V2​=V3​. V will be divided into V1​ and V2​ (or V3​).. Hence, V=V1​+V2​ or V=V1​+V3​

Q. In figure, three capacitors $C_{1}, C_{2}$ , and $C_{3}$ are joined to a battery. With symbols having their usual meaning, the correct conditions will be

$Q_{1} = Q_{2} = Q_{3}$ and $V_{1} = V_{2} = V_{3} + V$

$Q_{1} = Q_{2} + Q_{3}$ and $V = V_{1} + V_{2} + V_{3}$

$Q_{1} = Q_{2} + Q_{3}$ and $V = V_{1} + V_{2}$

$Q_{2} = Q_{3}$ and $V_{2} = V_{3}$