Question

the resistors of resistance 2,4 and 5 ohm are connected in parallel. the total resistance of the combination will be?​

Answer 1

Answer:

20/19

1.05ohm

Explanation:

total Resistance of the combination =R

1/2 +1/4 + 1/5 =1/R

(10+5+4)/20 =1/R

19/20=1/R

20/19=R

1.05ohm =R

Answer 2

Given:-

The resistors of the resistance = 2, 4 and 5 ohm.

To Find:-

The total resistance of the combination = ?

Concept :-

Mainly it is based on the ohms law chapters. The property of conductor through which a current is passing is called resistance.

Resistors can be combined in two ways viz. _____

Series combination

Parallel combination

Calculation:-

If the quivalent resistance in parallel combination

${\implies{\tt{\frac{1}{R} = \frac{1}{r_1} + \frac{1}{r_2}+\frac{1}{r_3}}}}$

${\implies{\tt{\frac{1}{R} = \frac{1}{2} + \frac{1}{4}+\frac{1}{5}}}}$

${\implies{\tt{\frac{1}{R} = \frac{10+ 5+4}{20}}}}$

${\implies{\tt{\frac{1}{R} = \frac{19}{20}}}}$

${\implies{\tt{\frac{1}{R} = \frac{20}{19}}}}$

${\implies{\tt{R= 1.05 ohm}}}$