(a) Define potential difference?
(b) State joules law of heating?
(c) Two conducting wires of same material and of equal lengths and equal diameters are first connected in series and then in parallel in circuit across the same potential difference. What is the ratio of heat produced in series and parallel combination?

Open in App

Solution

(a) The amount of work is to move a unit charge from one point to another point with constant velocity.

(b) $J o u l e^{'} s$ law of heating states that the heat developed in the conductor is proportional to
(1) Current through the conductor
(2) The resistance of the conductor
(3) The time of flow of current
$\Rightarrow H e a t = i^{2} R t = \frac{V^{2} t}{R}$

(c) $R e s i s t a n c e (R) = \frac{ρ L}{A}$ .As all the values are equal both the conducting wires have equal value of resistances. Let the value be $R$
In Parallel $R_{P} = \frac{R}{2}$
In series $R_{P} = 2 R$
$\frac{H_{S}}{H_{P}} = \frac{R_{P}}{R_{S}} = \frac{1}{4}$

Suggest Corrections

Similar questions

Two conducting wires of the same material and equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. What would be the ratio of heat produced in series and parallel combination?

Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of equivalent resistance in series and parallel combinations would be:

Q. Question 4
Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be –

(a) 1:2
(b) 2:1
(c) 1:4
(d) 4:1

Join BYJU'S Learning Program