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Class 12
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Electrostatic Potential and Capacitance
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Capacitance and Capacitance
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In the circuit C1 = 20 mu F , C2 = 40 m
Question
In the circuit
C
1
=
2
0
μ
F
,
C
2
=
4
0
μ
F
and
C
3
=
5
0
μ
F
. If no capacitor can sustain more than
5
0
V
, then maximum
potential difference between
X
and
Y
is
A
95 V
B
75 V
C
150 V
D
65 V
Hard
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Updated on : 2022-09-05
Solution
Verified by Toppr
Correct option is A)
Let the charge on each capacitor be
q
thus the potential against each capacitor will be
(
q
is in micro coulomb
)
across
C
1
capacitor
=
q
/
2
0
V
across
C
2
capacitor
=
q
/
4
0
V
across
C
3
capacitor
=
q
/
5
0
V
as we can see for same charge on each capacitor as they connected in series, the capacitor
C
1
has maximum potential drop, which according to the situation can be
5
0
V
so
q
/
2
0
=
5
0
so
q
=
1
0
0
0
micro coulomb
so the potential drop against
C
2
capacitor
=
1
0
0
0
/
4
0
=
2
5
volts
while the potential drop against
C
3
capacitor will be
1
0
0
0
/
5
0
=
2
0
volts
hence as all the capacitors are in series so the potential difference across
X
and
Y
=
5
0
+
2
5
+
2
0
=
9
5
volts
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