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If in Fig. 12.12, R_{1}=10 , R_{2}=40 , R_{3}=30 , R_{4}=20 ,

Science

Class 10

NCERT

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Suppose the resistors

R_{1}

R_{2}

and

R_{3}

have the values

5Ω, 10Ω, 30Ω

, respectively, which have been connected to a battery of

12 V

. Calculate (a) the current through each resistor, (b) the total current in the circuit, and (c) the total circuit resistance.

If in Fig. 12.12,

R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω

, and a

12 V

battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

An electric bulb is connected to a

220 V

generator. The current is

0.50 A

. What is the power of the bulb?

View all question

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Question

Hard

Solving time: 4 mins

If in Fig. 12.12, $R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω$ , and a $12 V$ battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

Views: 5,621 students

Updated on: Mar 26, 2023

Book:

Science (NCERT)

Found 6 tutors discussing this question

Alexander Discussed

If in Fig. 12.12,

R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω

, and a

12 V

battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Suppose we replace the parallel resistors

R_{1}

and

R_{2}

by an equivalent resistor of resistance,

R^{'}

. Similarly we replace the parallel resistors

R_{3}, R_{4}

and

R_{5}

by an equivalent single resistor of resistance

R^{''}

. Then using Eq. (12.18), we have

1/ R^{'} = 1/10 + 1/40 = 5/40;

that is

R^{'} = 8Ω

. Similarly,

1/ R^{''} = 1/30 + 1/20 + 1/60 = 6/60

; that is,

R^{''} = 10Ω

. Thus, the total resistance,

R = R^{'} + R^{''} = 18Ω

. To calculate the current, we use Ohm's law, and get

I = V / R = 12 V /18Ω = 0.67 A

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Practice more questions from Science (NCERT)

Suppose the resistors

R_{1}

R_{2}

and

R_{3}

have the values

5Ω, 10Ω, 30Ω

, respectively, which have been connected to a battery of

12 V

. Calculate (a) the current through each resistor, (b) the total current in the circuit, and (c) the total circuit resistance.

If in Fig. 12.12,

R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω

, and a

12 V

battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

An electric bulb is connected to a

220 V

generator. The current is

0.50 A

. What is the power of the bulb?

View all

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Question Text	If in Fig. 12.12, $R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω$ , and a $12 V$ battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.
Updated On	Mar 26, 2023
Topic	Electricity
Subject	Science
Class	Class 10
Answer Type	Text solution:1 Video solution: 10
Upvotes	1220
Avg. Video Duration	6 min

If in Fig. 12.12, $R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω$ , and a $12 V$ battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

Text solutionVerified

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If in Fig. 12.12, R1​=10Ω,R2​=40Ω,R3​=30Ω,R4​=20Ω,R5​=60Ω, and a 12 V battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.

Text solutionVerified

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If in Fig. 12.12, $R_{1} = 10Ω, R_{2} = 40Ω, R_{3} = 30Ω, R_{4} = 20Ω, R_{5} = 60Ω$ , and a $12 V$ battery is connected to the arrangement. Calculate (a) the total resistance in the circuit, and (b) the total current flowing in the circuit.