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  • 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?

Q.13.    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?

 

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Given : V=220V and Resistance of each coil=R =24A

When coil is used separately,current in coil is

I=\frac{V}{R}=\frac{220}{24}=9.16A

When two coils are connected in series, net resistance is

            R=R_1+R_2=24+24=48\Omega

current in coil is I'

I'=\frac{V}{R}=\frac{220}{48}=4.58A

When two coils are connected in parallel, net resistance is

\frac{1}{R}=\frac{1}{24}+\frac{1}{24}=\frac{2}{24}

\Rightarrow R=12\Omega

current in the coil is I''

I''=\frac{V}{R}=\frac{220}{12}=18.33A

 

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seema garhwal

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