In the circuit shown, all voltmeters ammeter are ideal. The internal resistance of battery is 20 Ω. The readings of voltmeter and ammeter are marked in the figure. What is resistance R2 (in ohm)?

Question

In the circuit shown, all voltmeters ammeter are ideal. The internal resistance of battery is 20 Ω. The readings of voltmeter and ammeter are marked in the figure. What is resistance R2 (in ohm)? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

V 1+ V 2+ V 3=120-20(0.5) ⇒ V 1+ V 2+ V 3=110 V ldots(1) Also V 1+ V 2=60 ⇒ V 3=110-60=50 V Now V 2+ V 3=90 ⇒ V 2=40 V <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/2ad96a907d3ade8ed0f7bdaf2aa6ece4-.png" /> ∴ R 2=(40/0.5)=80 Ω

Q. In the circuit shown, all voltmeters & ammeter are ideal. The internal resistance of battery is $20Ω$ . The readings of voltmeter and ammeter are marked in the figure. What is resistance $R_{2}$ (in $o hm$ )?

$V_{1} + V_{2} + V_{3} = 120 - 20 (0.5)$
$\Rightarrow V_{1} + V_{2} + V_{3} = 110 V \dots (1)$
Also $V_{1} + V_{2} = 60$
$\Rightarrow V_{3} = 110 - 60 = 50 V$
Now $V_{2} + V_{3} = 90$
$\Rightarrow V_{2} = 40 V$

$∴ R_{2} = \frac{40}{0.5} = 80 Ω$

Q. In the circuit shown, all voltmeters & ammeter are ideal. The internal resistance of battery is 20Ω. The readings of voltmeter and ammeter are marked in the figure. What is resistance R2​ (in ohm)?

V1​+V2​+V3​=120−20(0.5) ⇒V1​+V2​+V3​=110V…(1) Also V1​+V2​=60 ⇒V3​=110−60=50V Now V2​+V3​=90 ⇒V2​=40V ∴R2​=0.540​=80Ω

Q. In the circuit shown, all voltmeters & ammeter are ideal. The internal resistance of battery is $20Ω$ . The readings of voltmeter and ammeter are marked in the figure. What is resistance $R_{2}$ (in $o hm$ )?

$V_{1} + V_{2} + V_{3} = 120 - 20 (0.5)$
$\Rightarrow V_{1} + V_{2} + V_{3} = 110 V \dots (1)$
Also $V_{1} + V_{2} = 60$
$\Rightarrow V_{3} = 110 - 60 = 50 V$
Now $V_{2} + V_{3} = 90$
$\Rightarrow V_{2} = 40 V$

$∴ R_{2} = \frac{40}{0.5} = 80 Ω$