To determine the resistance (R) of a wire, a circuit is designed below. The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R i $s ______$ Ω.

Question

G1 Physics · Accepted Answer

Image From the graph: V = 4 V I = 2 mA Therefore equivalent resistance measured by the circuit is: Rₑq = V/I = 4/(2 × 10⁻³) = 2000 Ω The unknown resistance R is in parallel with 10 kΩ. Therefore: Rₑq = (10⁴R)/(10⁴ + R) So: 2000 = (10⁴R)/(10⁴ + R) 2000(10⁴ + R) = 10⁴R 2 × 10⁷ + 2000R = 10000R 8000R = 2 × 10⁷ R = 2500 Ω

To determine the resistance (R) of a wire, a circuit is designed below. The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R i s ______ Ω.