A cell of emf 90   V is connected across series combination of two resistors each of 100   Ω…

A cell of emf 90 V is connected across series combination of two resistors each of 100 Ω resistance. A voltmeter of resistance 400 Ω is used to measure the potential difference across each resistor. The reading of the voltmeter will be:
  1. 40 V
  2. 45 V
  3. 80 V
  4. 90 V

Solution

As we know, voltmeter is connected in parallel to the element being measured.

The equivalent resistance of the above circuit is Req=400×100400+100+100=80+100=180 Ω

Current through the circuit is i=90180=12 A

Reading of the voltmeter is VR=i400×100400+100=12×80=40 V

Asked in: JEE Main 2023 (24 Jan Shift 2)

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