CBSE Class 10 Science 2022 Outside Delhi Term II Set 1

Question : 13 of 15

Marks: +1, -0

An electric motor rated

1100 {\W}

is connected to

220 {\V}

mains. Find:
(i) The current drawn from the mains,
(ii) Electric energy consumed if the motor is used for

{5}

hours daily for

{6}

days.
(iii) Total cost of energy consumed if the rate of one unit is

₹ 5

.
OR
Study the following circuit and find :

(i) Effective resistance of the circuit
(ii) Current drawn from the battery
(iii) Potential difference across the

5 Ω

resistor

Solution:

(i) Effective resistance of the circuit

R_3

and

R_4

are in series and both are parallel to

R_2

{\R}_3+ {\R}_4=10 {\Ohm}

Effective Resistance across

R_2 (R^{'})

1 \/ R^{'}\;=1 \/ R_2+1 \/ (R_3+R_4)

R^{'}\;=5 {\Ohm}

Now,

R_1, R^{'}

and

R_5

are in series
Effective resistance of the circuit

=R_1+R^{'}

+ {\R}_5

\;=5+5+10

\;=20 {\Ohm}

(ii) Current drawn from battery

V\;=I R

I\;=V \/ R

I\;=20 \/ 20

I\;=1 {\A}

(iii) Potential difference across 5-ohm resistor

\;V=I R

\;V=1 × 5

\;V=5 V

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