Question

A potential difference of 220 V is applied across a resistance of 440OHM in an electrical appliance. Calculate the current drawn and the heat
energy produced in 20 seconds

NO DIRECT ANSWER

Answer 1

◆ Answer-

I = 0.5 A

W = 2200 J

◆ Explanation-

# Given-

V = 220 V

R = 440 Ω

t = 20 s

# Solution-

Current flowing through circuit -

I = V / R

I = 220 / 440

I = 0.5 A

Heat energy is given by -

W = VIt

W = 220 × 0.5 × 20

W = 2200 J

Therefore, current flowing through circuit is 0.5 A and work done is 2200 J.

Hope this helps you...

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Answer 2

Given :-

Potential difference ( V)= 220V

Resistance (R)= 440 Ohm

Time (T)= 20 seconds

To find :-

we have to find the

(1) Current and (2) heat !

Now According to the formula !

$\underline{\it{\bigstar{ \ 1 \ Calculate \ current ! }}}$

$\underline{\small{\boxed{\sf { Potential \ difference (V)= Current (I) \times Resistance (R)}}}}$

$:\implies\sf V= IR\\ \\ :\implies\sf 220= I\times 440 \Omega\\ \\ :\implies\sf \cancel{\dfrac{220}{440}}= I\\ \\ :\implies \sf \cancel{\dfrac{1}{2}}= I\\ \\ :\implies\sf I = 0.5 \ A$

$\boxed{\textsf{\textbf{\dag\ \ Current \ (I) = 0.5 \ Ampere}}}$

$\underline{\it{\bigstar{ \ 2 \ Calculate \ heat ! }}}$

$\underline{\small{\boxed{\sf{ Heat (H) = [current (I)]^2 \times Resistance (R) \times Time (t)}}}}$

Or

$\underline{\small{\sf{\dag \ Heat (H) = Potential \ difference (V) \times Current (I) \times Time (t)}}}$

• Find heat !

$:\implies\sf H= I^2 Rt\\ \\ :\implies\sf H= (0.5)^2\times 440\times 20\\ \\ :\implies\sf H= 0.25\times 8800\\ \\ :\implies\sf H= 2200 \ jolues \\ \\ \bullet\sf \ \ In \ kilojoules \\ \\ :\implies\sf H= \dfrac{2200}{1000} \ kilojoules\\ \\ :\implies \sf H= 2.2 \ kilojoules$

$\boxed{\textsf{\textbf{\dag\ \ Heat \ (H) = 2.2 \ kilojoules}}}$