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GUJCET · Physics · Electrostatic Potential and Capacitance
The potential at the point B in the given figure is __________ V.
- A 25
- B 30
- C 22
- D 50
Answer & Solution
Correct Answer
(C) 22
Step-by-step Solution
Detailed explanation
(C)
Let potential at B be V .
for A and B ,
\(V-40=\frac{Q}{2}\quad \quad \ldots \ldots(1)
\)
for B and C,
\(
10-V=\frac{Q}{3} \quad \quad \ldots \ldots(2)
\)
from equation (i) and (ii)
\(
\begin{array}{r}
2(V-40)=3(10-V) \\
2 V-80=30-3 V \\
2 V+3 V=30+80
\end{array}
\)
\(\begin{aligned} 5 V & =110 \\ V & =\frac{110}{5} \\ V & =22 V\end{aligned}\)
Let potential at B be V .
for A and B ,
\(V-40=\frac{Q}{2}\quad \quad \ldots \ldots(1)
\)
for B and C,
\(
10-V=\frac{Q}{3} \quad \quad \ldots \ldots(2)
\)
from equation (i) and (ii)
\(
\begin{array}{r}
2(V-40)=3(10-V) \\
2 V-80=30-3 V \\
2 V+3 V=30+80
\end{array}
\)
\(\begin{aligned} 5 V & =110 \\ V & =\frac{110}{5} \\ V & =22 V\end{aligned}\)
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