Two equal resistances R are joined with voltage source V in (i)series (ii)parallel, the ratio of electrical power consumed in two cases will be

1:4

4:1

2:1

1:2

Solution

1:4

(a)The same current flows through each part of a series circuit. The total resistance a series circuit is equal to the sum of individual resistances. Voltage applied to a series circuit is equal to the sum of the individual voltage drop. Two resistors are said to be if only one of the endpoints is closed.

In series:- total resistance= R+R=2R

$Power consumed P_{1} = \frac{V^{2}}{2 R}$

(b)Two or more resistors are said to be in parallel if one end of all the resistors is joined together and similarly the other ends joined together.

In parallel:- potential difference across each resistance will be V

So, power consumed in each resistance is

$P = \frac{V^{2}}{R} so total power consumed in each resistance is P_{2} = \frac{V^{2}}{R} + \frac{V^{2}}{R} = \frac{2 V^{2}}{R} Hence, required ratio = \frac{P_{1}}{P_{2}} = \frac{V^{2} \times R}{2 R \times 2 V^{2}} = \frac{1}{4}$

For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

Two equal resistances R are joined with voltage source V in (i)series (ii)parallel, the ratio of electrical power consumed in two cases will be

1:4

4:1

2:1

1:2

Some More Questions From Electric Charges and Fields Chapter

The working of dynamic is based on the principle of

X-rays are

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

Two equal resistances R are joined with voltage source V in (i)series (ii)parallel, the ratio of electrical power consumed in two cases will be 1:4 4:1 2:1 1:2

Some More Questions From Electric Charges and Fields Chapter

The working of dynamic is based on the principle of

X-rays are

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Two equal resistances R are joined with voltage source V in (i)series (ii)parallel, the ratio of electrical power consumed in two cases will be

1:4

4:1

2:1

1:2