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A resistance of 980 Ω is connected in series with a voltmeter, after which the scale division becomes 50 times larger. The resistance of voltmeter is
Let the resistance of the voltmeter be Rv . When a 980 Ω resistor is connected in series, the total resistance becomes Rv + 980 and the sensitivity (scale division) becomes 50 times larger, meaning the current is reduced to 1/50 of original. Using the current division rule: Rv/Rv + 980 = 1/50 ⇒ 50RRead more
Let the resistance of the voltmeter be Rv . When a 980 Ω resistor is connected in series, the total resistance becomes
Rv + 980 and the sensitivity (scale division) becomes 50 times larger, meaning the current is reduced to
1/50 of original.
Using the current division rule:
Rv/Rv + 980 = 1/50 ⇒ 50R
v = R
v +980 ⇒ 49R
v = 980 ⇒ R
v = 20Ω
Answer: (B) 20Ω.
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