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A hot plate of an electric oven connecte...

A hot plate of an electric oven connected to a `220 V` lines 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 ?

Text Solution

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Given that: Potential difference V = 220 V and resistance of each coil R = 24 `omega` When the coil is used separately, the current in the coil is given by When the two coils are connected in series, the net resistance is given by `R = R_(1) + R_(2) = 24 omega + 24 omega = 48 omega`
Now, the current in the coil is given by `I=(V )/(R )=220/48=55/12=4.58 A`
When the two coils are connected in parallel the net resistance is given by
`rarr=12 omega`
Now, the current in the coil is given by
`rarrI=(V )/(R )=220/12=55/3=18.33 A`
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