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CBSE - Class 10 Science Electricity Worksheet

A cylindrical conductor of length 'l' and uniform area of cross section 'A' has resistance 'R' The area of cross section of another conductor of same material and same resistance but of length '2l' is

A/2

3A/2

A hot plate of an electric oven connected to a 220 V line has two resistance coils $A$ and $B$, each of $24 \Omega$ resistance, which may be used separately, in series, or in parallel. What are the currents in the three cases?

Which uses more energy, a 250 W TV set in 1 hr, or a 1200 W toaster in 10 minutes?

Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel to electric mains supply. What current is drawn from the line if the supply voltage is 220 V?

How is a voltmeter connected in the circuit to measure the potential difference between two points?

Explain the following.
(e) Why are copper and aluminium wires usually employed for electricity transmission?

Explain the following.
(c) Why is the series arrangement not used for domestic circuits?

A copper wire has diameter 0.5 mm and resistivity of $1.6 \times 10^{-8} \Omega$ m. What will be the length of this wire to make its resistance $10 \Omega$? How much does the resistance change if the diameter is doubled?

Explain the following.
(d) How does the resistance of a wire vary with its area of cross-section?

10.

Show how you would connect three resistors, each of resistance $6 \Omega$, so that the combination has a resistance of (i) $9 \Omega$,

11.

Two resistors, R1 = 10Ω and R2= 20Ω, are connected in parallel to a battery. Which of the following is true regarding the current (I) and voltage (V)?

V is different across both, I is the same

I is different across both, V is the same

Both I and V are the same for both resistors

Both I and V are different for both resistors

12.

When a 12 V battery is connected across an unknown resistor, there is a current of 2.5 mA in the circuit. Find the value of the resistance of the resistor.

13.

Show how you would connect three resistors, each of resistance $6 \Omega$, so that the combination has a resistance of (ii) $4 \Omega$.

14.

A piece of wire of resistance $R$ is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is $R'$, then the ratio $\frac{R}{R'}$ is –

$\frac{1}{25}$

$\frac{1}{5}$

15.

How many $176 \Omega$ resistors (in parallel) are required to carry 5 A on a 220 V line?

16.

Compare the power used in the $2 \Omega$ resistor in each of the following circuits: (ii) a 4 V battery in parallel with $12 \Omega$ and $2 \Omega$ resistors.

17.

The values of current $I$ flowing in a given resistor for the corresponding values of potential difference $V$ across the resistor are given below –

Plot a graph between $V$ and $I$ and calculate the resistance of that resistor.

18.

An electric bulb is rated 220 V and 100 W. When it is operated on 110 V, the power consumed will be –

100 W

75 W

50 W

25 W

19.

A battery of 9 V is connected in series with resistors of $0.2 \Omega$, $0.3 \Omega$, $0.4 \Omega$ , $0.5 \Omega$ and $12 \Omega$, respectively. How much current would flow through the $12 \Omega$ resistor?

20.

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be –

1:2

2:1

1:4

4:1

Worksheet Answers

Option C

11.

Option B

14.

18.

20.

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