A voltmeter having a resistance of 1800 Ω is employed to measure the potential difference across 200Ω resistance, which is connected to dc power supply of 50 V and internal resistance 20Ω. what is the increase in potential difference across the 200 ohm resistor as a result of connecting the voltmeter across it?
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Answer:
The voltage V
1
in the circuit before connecting the voltmeter is
V
1
=E−ir
V
1
=50−
220
50
×20
V
1
=50−4.6=45.4V
When the voltmeter is connected in the circuit as shown in figure, the voltage V
2
is
V
2
=50−
1800
50
×200
V
2
=44.4V
Now, percentage change in voltages is =
V
1
V
1
−V
2
×100=2.2%
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