Question

A hot plate of an electric oven connected to a 220V line has two resistors A and B each of
22ohm
resistance. These resistors may be used separatly, in series or in parallel Find the
current flowing in all the three cases ?​

Answer 1

Answer:

$\green{ \therefore I_{1} = 10 \: A} \\ \\ \green{ \therefore I_{2} = 20 \: A} \\ \\ \green{ \therefore I_{3} = 5 \: A}$

Explanation:

$\circ \: Potential \: difference = 220 \: v \\ \\ \circ \: Resistance = 22 \: \Omega \\ \\ \bold{For \: separataly} \\ \to V = IR \\ \\ \to 220 = I \times 22 \\ \\ \to I = \frac{ 220 }{22} \\ \\ \green{\to I = 10 \: A} \\ \\ \bold{For \: parallel \: connection} \\ \to \frac{1}{ R_{equivalent} } = \frac{1}{ R_{1} } + \frac{1}{ R_{2} } \\ \\ \to \frac{1}{ R_{equivalent} } = \frac{1}{22} + \frac{1}{22} \\ \\ \to \frac{1}{R_{equivalent} } = \frac{1 + 1}{22} \\ \\ \to R_{equivalent} =11 \Omega \\ \\ \bold{For \: current} \\ \to V = I\:R_{equivalent} \\ \\ \to 220 = I \times 11 \\ \\ \to I = \frac{220}{11} \\ \\ \green{\to I= 20 \: A} \\ \\ \bold{For \: series \: combination} \\ \to R_{equivalent} = R_{1} + R_{2} \\ \\ \to R_{equivalent} = 22 + 22 \\ \\ \to R_{equivalent} =44 \Omega \\ \\ \bold{For \: current \: in \: circuit} \\ \to V= I \: R_{equivalent} \\ \\ \to 220 = I\times 44 \\ \to I= \frac{220}{44} \\ \\ \green{\to I= 5 \: A}$