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

Supply voltage, V= 220 V
Resistance of one coil, R= 24 \(\Omega \)

(i) Coils are used separately
According to Ohm's law,
\( V= I_1R_1 \)
Where, \( I_1 \) is the current flowing through the coil

\( I_1 = \frac{V}{R_1} = \frac{220}{24} = 9.166 A \)

Therefore, 9.16 A current will flow through the coil when used separately.

(ii) Coils are connected in series

Total resistance, \(R_2 \) = 24 \(\Omega \) + 24 \(\Omega \) = 48 \(\Omega \)

According to Ohm's law,V = \( I_2R_2 \)

Where, \( I_2 \) is the current flowing through the series circuit

\( I_2 = \frac{V}{R_2} = \frac{220}{48} = 4.58 A \)

Therefore, 4.58 A current will flow through the circuit when the coils are connected in series.

(iii) Coils are connected in parallel

Total resistance, R3 is given as \( = \frac{24}{2} = 12V \)

According to Ohm's law,
\( V= I_3R_3 \)
Where,

I3 is the current flowing through the circuit \( I_3 = \frac{V}{R_3} = \frac{220}{12}= 18.33 A \)

Therefore, 18.33 A current will flow through the circuit when coils are connected in parallel.