**(i) **The potential difference is 6 V and the resistors 1 Ω and 2 Ω are connected in series, hence their equivalent resistance is given by 1 Ω + 2 Ω = 3 Ω. The current in the circuit can be calculated using the Ohm’s law as follows:

\( I=\frac{V}{R}=\frac{6}{3}=2\,A\)

2. A current will flow across all the components in the circuit because there is no division of current in a series of the circuit.

The power in 2 Ω resistor can be calculated as follows:

\( P=I^2R=(2)^2\times2=8\,W\)

Therefore, the power consumed by the 2 Ω is 8 w

**(ii)** When 12 Ω and 2 Ω resistors are connected in parallel, the voltage across the resistors remains the same. Knowing that the voltage across 2 Ω resistor is 4 V, we can calculate the power consumed by the resistor as follows:

\( P=\frac{V^2}{R}=\frac{4^2}{2}=8\,W\)

The power consumed by the 2 Ω resistor is 8 W.

Answered by Shivani Kumari | 2 years ago**Explain the following.**

**a.** Why is the tungsten used almost exclusively for filament of electric lamps?

**b. **Why are the conductors of electric heating devices, such as bread-toasters and electric irons, made of an alloy rather than a pure metal?

**c.** Why is the series arrangement not used for domestic circuits?

**d.** How does the resistance of a wire vary with its area of cross-section?

**e.** Why copper and aluminum wires are usually employed for electricity transmission?

An electric heater of resistance 8 Ω draws 15 A from the service mains 2 hours. Calculate the rate at which heat is developed in the heater.

Which uses more energy, a 250 W TV set in 1 hr, or a 1200 W toaster in 10 minutes?

Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel to the electric mains supply. What current is drawn from the line if the supply voltage is 220 V?

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