Question

two resistors having equal resistance when connected in series have equivalent resistance of 48 ohm calculate the equivalent resistance when both are joined in parallel combination

Answer 1

if two resistors are equal and they are connected in series so
current in one resistor = 24 ohm
if they are joined in parallel
than
total resistance
1/R = 1/24+1/24
1/R = 2/24
R= 12 ohm

Answer 2

Question :-

Two resistors having equal resistance when connected in series have equivalent resistance of 48 ohm calculate the equivalent resistance when both are joined in parallel combination.

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Answer :-

Whenever R₁ and R₂ are in parallel ,

1 / RE = 1 / R₁ + 1 / R₂  [ RE = equivalent resistance ]

Let the two resistances be R.

According to the problem :

1 / 48 = 1 / R + 1 / R

==> 1 / 48 = ( 1 + 1 ) / R

==> 1 / 48 = 2 / R

Cross multiply to get :

==> R = 48 × 2

==> R = 96

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The resistances are 96 Ω each

Hope it helps !

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