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The Figure Shows a Circuit. When the Circuit is Switched On, the Ammeter Reads 0.5 A. Calculate the Value of the Unknown Resistor R. - Physics

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Question

The figure shows a circuit. When the circuit is switched on, the ammeter reads 0.5 A.


(i) Calculate the value of the unknown resistor R.

(ii) Calculate the charge passing through the 3 Ω resistor in 120 s.

(iii) Calculate the power dissipated in the 3 Ω resistor.

Short/Brief Note
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Solution

(i) We know, V = IR'

⇒ 6 = 0.5 × R'

⇒ R' = 12 Ohm

∵ R' = 3 + R

⇒ 12 = 3 + R

⇒ R = 9 Ohm

(ii) Charge, q = i t

⇒ q = 0.5 × 120 = 60 Coulomb

(iii) Power dissipation, p = i2R

p = 0.52 × 3 = 0.75 Watt

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