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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An electric heater which is connected to a $220 V$ supply line has two resistance coils $A$ and $B$ of $24 Ω$ 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.

Important Questions on Electricity

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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.

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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

MEDIUM

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 26

A potential difference of $6 V$ is applied to two resistors of $3 Ω$ and $6 Ω$ connected in parallel. Calculate:

(a) the combined resistance

(b) the current flowing in the main circuit

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10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 27

In the circuit shown below, the voltmeter reads

10 V

(a) What is the combined resistance?
(b) What current flows?
(c) What is the potential difference across

2 Ω

resistor?
(d) What is the potential difference across

3 Ω

resistor?

HARD

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 28

In the circuit given below:
Question Image

(a) What is the combined resistance?
(b) What is the potential difference across the combined resistance?
(c) What is the potential difference across the

3 Ω

resistor?
(d) What is the current in the

3 Ω

resistor?
(e) What is the current in the

6 Ω

resistor?

MEDIUM

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 29

5 V

battery is connected to two

20 Ω

resistors which are joined together in series.
(a) Draw a circuit diagram to represent this. Add an arrow to indicate the direction of conventional current flow in the circuit.
(b) What is the effective resistance of the two resistors?
(c) Calculate the current that flows from the battery.
(d) What is the potential difference across each resistor?

An electric heater which is connected to a 220 V supply line has two resistance coils A and B of 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.

Important Questions on Electricity

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An electric heater which is connected to a $220 V$ supply line has two resistance coils $A$ and $B$ of $24 Ω$ 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.