13) A hot plate of an electric oven connected to a 220V line has two resistance coils A and B, each of 24 Ω resistance, which may be used separately, in series, or in parallel. What are the c

Combined resistance when each of two coils having resistance 24 Ω is connected in series will be 24 Ω + 24 Ω = 48 Ω.

13) A hot plate of an electric oven connected to a 220V line has two resistance coils A and B, each of 24 Ω resistance, which may be used separately, in series, or in parallel. What are the c- Hosting Precise

Posted on 4th Sep 2021 04:23:18 in

Question 13) A hot plate of an electric oven connected to a 220V line has two resistance coils A and B, each of 24 Ω
resistance, which may be used separately, in series, or in parallel. What are the currents in the three cases ?

Ans:

Case 1: When each coil is used separately,

Potential difference V = 220V

Resistance =24 Ω.

Using Ohm’s law; V=IR

I = $\frac{V}{R}$

$= \frac{220}{24}$

I =9.2A.

Case 2: When the two coils are connected in series

Combined resistance when each of two coils having resistance 24 Ω is connected in series will be 24 Ω + 24 Ω = 48 Ω.

Resistance R = 48 Ω

I = $\frac{V}{R}$

$= \frac{220}{48}$

I = 4.58Amp

Case 3: When the two coils are connected in parallel

Combined resistance when resistances are connected in parallel;

$\frac{1}{R} = \frac{1}{24} + \frac{1}{24}$

$= \frac{(1 + 1)}{(24)}$

$= \frac{2}{24}$

$\frac{1}{R} = \frac{1}{12}$

Therefore R = 12 Ω

I = $\frac{V}{R}$

$= \frac{220}{12}$

= 18.34Amp

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