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An electric bulb of resistance 20 Ω and a resistance wire of 4 Ω are connected in series with a 6 V battery.

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An electric bulb of resistance 20 Ω and a resistance wire of 4 Ω are connected in series with a 6 V battery.

Draw the circuit diagram and calculate :

(a) total resistance of the circuit.

(b) current through the circuit.

(c) potential difference across the electric bulb.

(d) potential difference across the resistance wire.

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(a) Total resistance of the circuit = R1 + R2

= 20 + 4 = 24 ohm

(b) We know that

V = IR

Therefore, 6 = I  x 24

I = \(\frac{6}{24}\) = 0.25 amp

(c) p.d. across bulb = IR1 

= 0.25 x 20 = 5V

(d) p.d. across resistance wire = IR2 

= 0.25 x 4 = 1V

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