In circuit diagram given below five resistances of 10 Ω , 40 Ω , 30 Ω , 20 Ω and 60 Ω are connected as shown to a 12 V battery. Calculate: (a) the total resistance in the circuit. (b) the total current is flowing in the circuit.

(a) When three resistors are connected in parallel, the net resistance can be obtained as followed: 1 R = 1 R 1 + 1 R 2 + 1 R 3 The resistors 30 Ω , 20 Ω and 60 Ω are connected in parallel. Therefore, the net resistance R will be: 1 R = 1 30 + 1 20 + 1 60 1 R = ( 2 + 3 + 1 ) 60 1 R = 6 60 R = 10 Ω Two more resistors of 10 Ω and 40 Ω are connected in parallel to each other. Therefore, their net resistance, R' will be: 1 R ' = 1 10 + 1 40 1 R ' = 4 + 1 40 1 R ' = 5 40 R ' = 8 Ω The resistors R ' and R is connected in series. Therefore, the net resistance of the circuit R n e t = R ' + R = 8 Ω + 10 Ω = 18 Ω (b) The total current flowing through the circuit can be calculated as: I = V R n e t I = 12 18 I = 0.67 A

In the circuit diagram given below, three resistors R 1 , R 2 and R 3 of 5 Ω , 10 Ω and 30 Ω , respectively are connected as shown. Calculate: (a) current through each resistor. (b) total current in the circuit. (c) total resistance in the circuit.

(a) Let I 1 , I 2 and I 3 be the current flowing through the resistors of 5 Ω , 10 Ω and 30 Ω , respectively. According to Ohm's law , V = I × R Here, V = 12 V and R = 5 Ω I = V R I 1 = 12 5 = 2.4 A I 2 = 12 10 = 1.2 A I 3 = 12 30 = 0.4 A . (b) Total current through the circuit, I = I 1 + I 2 + I 3 I = 2.4 + 1.2 + 0.4 A I = 4 A . In parallel connection, the net current is the sum of the individual currents through the resistors connected in parallel. (c) The resistors of 5 Ω , 10 Ω and 30 Ω are connected in parallel. Therefore, the net resistance will be 1 R = 1 R 1 + 1 R 2 + 1 R 3 1 R = 1 5 + 1 10 + 1 30 1 R = 6 + 3 + 1 30 1 R = 10 30 R = 3 Ω Hence, total resistance in the circuit is 3 Ω .

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10th CBSE

IMPORTANT

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The circuit diagram given below shows the combination of three resistors $R_{1}, R_{2}$ and $R_{3} :$

Find:

(i) the total resistance of the circuit.

(ii) the total current flowing in the circuit.

(iii) the potential difference across $R_{1}$ .

Important Questions on Electricity

EASY

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 20

In the circuit diagram given below, the current flowing across

5 ohm

resistor is

1 amp .

Find the current flowing through the other two resistors.
Question Image

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10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 21

A resistor has a resistance of

176 ohms .

How many of these resistors should be connected in parallel so that their combination draws a current of

5 amperes

from a

220 volt

supply line?

MEDIUM

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 22

An electric heater which is connected to a

220 V

supply line has two resistance coils

A

and

B

24 Ω

resistance each. These coils can be used separately (one at a time), in series or in parallel. Calculate the current drawn when only one coil

A

is used.

MEDIUM

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 22

An electric heater which is connected to a

220 V

supply line has two resistance coils

A

and

B

24 Ω

resistance each. These coils can be used separately (one at a time), in series or in parallel. Calculate the current drawn when: coils

A

and

B

are used in series.

EASY

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 22

An electric heater which is connected to a

220 V

supply line has two resistance coils

A

and

B

24 Ω

resistance each. These coils can be used separately (one at a time), in series or in parallel. Calculate the current drawn when: coils

A

and

B

are used in parallel.

HARD

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 23

In circuit diagram given below five resistances of $10 Ω, 40 Ω, 30 Ω, 20 Ω$ and $60 Ω$ are connected as shown to a $12 V$ battery.
Question Image
Calculate:

(a) the total resistance in the circuit.

(b) the total current is flowing in the circuit.

HARD

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 24

In the circuit diagram given below, three resistors $R_{1}, R_{2}$ and $R_{3}$ of $5 Ω, 10 Ω$ and $30 Ω,$ respectively are connected as shown.
Question Image
Calculate:

(a) current through each resistor.

(b) total current in the circuit.

HARD

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 25

A potential difference of $4 V$ is applied to two resistors of $6 Ω$ and $2 Ω$ connected in series. Calculate:

(a) the combined resistance

(b) the current flowing

The circuit diagram given below shows the combination of three resistors R1,R2 and R3: Find: (i) the total resistance of the circuit. (ii) the total current flowing in the circuit. (iii) the potential difference across R1.

Important Questions on Electricity

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The circuit diagram given below shows the combination of three resistors $R_{1}, R_{2}$ and $R_{3} :$

Find:

(i) the total resistance of the circuit.

(ii) the total current flowing in the circuit.

(iii) the potential difference across $R_{1}$ .