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Q.

A circuit contains an ammeter, a battery of 30 V and a resistance 40.8 ohm all connected in series. If the ammeter has a coil of resistance 480 ohm and a shunt of 20 ohm, the reading in the ammeter will be

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a

1 A

b

0.5 A

c

2 A

d

0.25 A

answer is C.

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Detailed Solution

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Given, coil resistance of ammeter = 480
Shunt resistance of ammeter = 20 Ω
Effective resistance of ammeter = 11480+120=480×20500=19.2Ω
Since the ammeter is connected in series
with the 40.8 Ω resistance,
the effective resistance of the circuit is
Reff =4.08Ω+19.2Ω=60Ω
From Ohm’s law,
v = IR
where V is the potential difference
I is the current
R is the resistance
(30v)=I×(60Ω)I=3060=0.5A.

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