Question

U
zx.
Choose the correct answers :
If 2 resistors having same resistance connected in parallel connection. Then resultant
resistance
.... individual resistances.
1.
=
[ ]
A) Double
B) 4 times
C) 3 times
D) Half​

Answer 1

Answer:

the answer is d) half

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Answer 2

Solution:-

Let ,

R 1 = R 2 =R

Two resistors R 1 and R 2 each having a resistance of R are connected in parallel combination

Equivalent resistance of n no  resistors connected in parallel combination is given by the formula ,

$\bigstar\boxed{\mathtt{ \dfrac{1}{R_p} = \dfrac{1}{R_1} + \dfrac{1}{R_2} +.....+ \dfrac{1}{R_n} }}$

hence ,

$\implies\mathtt{ \dfrac{1}{R_p} = \dfrac{1}{R} + \dfrac{1}{R}}$

$\implies\mathtt{ \dfrac{1}{R_p} = \dfrac{1+1}{R} }$

$\implies\mathtt{ \dfrac{1}{R_p} = \dfrac{2}{R} }$

$\implies\mathtt{ R_p= \dfrac{R}{2} }$

If  2 resistors having same resistance connected in parallel connection. Then resultant  resistance  half  individual resistances.

Know more :-

Equivalent resistance of n no  resistors connected in series combination is given by the formula ,

$\bigstar\boxed{\mathtt{ R_s= R_1 + R_2 +.....+ R_n }}$