$(a)$ Three resistors $R_{1}, R_{2}$ and $R_{3}$ are connected in parallel and the combination is connected to battery, ammeter, voltmeter and key. Draw suitable circuit diagram. Obtain an expression for the effective resistance of the combination of resistors in parallel.
$(b)$ Why are electric bulbs filled with chemically inactive nitrogen or argon ?
$(c)$ What is meant by the statement that the rating of a fuse in a circuit is $5 A$ ?
$(a)$ The diagram is as shown
$(a)$ See above articles.
$(b)$ They. are filled with inactive nitrogen or argon to prolong the life of the filament
$(c)$ It means that the maximum current that should flow in the circuit is $5 A$. If it exceeds this value, the fuse will blow off.
The potential difference across the terminals of a cell is $1.5$ volt. If it is connected with a resistance of $30$ $ohms$, calculate the current flowing through the circuit.
The potential difference between the terminals of an electric heater is $60\, V$ when it draws a current of $4\, A$ from the source. What current will the heater draw, if the potential difference is increased to $120\, V$ ?
Given reason for the following
$(i)$ Tungsten used almost exclusively for filament of electric lamp.
$(ii)$ Why do we use copper and aluminium wires for transmission of electric current ?
State with the help of a circuit diagram an activity to find the resistance ${ }^{\prime} R^{\prime}$ of a given wire. A current of $0.2\, A$ passes through a resistor of $20 \Omega$. Find the potential difference across its ends.
Explain the term resistance. Give its $SI$ unit of measurement.