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 .

(i) As shown in the figure, the resistors R 2 and R 3 are connected in parallel. Their total resistance is given by: 1 R = 1 R 2 + 1 R 3 Here, R 2 = 3 Ω and R 3 = 6 Ω So, 1 R = 1 3 + 1 6 ⟹ 1 R = 3 6 R = 2 Ω This resistance is in series with the resistor, R 1 . Thus, the total resistance = 2 Ω + R 1 R 1 = 4 Ω Therefore, the total resistance R t o t a l = 2 Ω + 4 Ω = 6 Ω (ii) The current through the circuit can be calculated as follows: Current, I = V R t o t a l I = 12 6 A I = 2 A (iii) The potential difference across R 1 is, V = I R 1 = 2 × 4 = 8 V

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

MEDIUM

10th CBSE

IMPORTANT

Earn 100

For the circuit shown in the diagram below:

What is the value of

(i) current through $6 Ω$ resistor?

(ii) the potential difference across the $12 Ω$ resistor?

Important Questions on Electricity

MEDIUM

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 18

Two resistors, with resistances $5 Ω$ and $10 Ω$ respectively are to be connected to a battery of emf $6 V$ so as to obtain:

(i) minimum current flowing (ii) maximum current flowing

(a) How will you connect the resistances in each case?

(b) Calculate the strength of the total current in the circuit in the two cases.

MEDIUM

10th CBSE

IMPORTANT

Science for Tenth Class Part - 1 Physics>Chapter 1 - Electricity>Short Answer Type Questions>Q 19

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

(i) the total resistance of the circuit.

(ii) the total current flowing in the circuit.

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

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

MEDIUM

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.

For the circuit shown in the diagram below: What is the value of (i) current through 6 Ω resistor? (ii) the potential difference across the 12 Ω resistor?

Important Questions on Electricity

Learn and Prepare for any exam you want !

For the circuit shown in the diagram below:

What is the value of

(i) current through $6 Ω$ resistor?

(ii) the potential difference across the $12 Ω$ resistor?