asked by crystinia, 10 days ago

# Two resistors are in the ratio 1:4. If these are connected in parallel there total resistance becomes 20 ohm. Find the value of each resistance.

21

let the resistance be 1x and 4x

answer is 25 ohm and 100 ohm

Explanation:

1/R = 1/R1 +1/R2

1/20= 1/x +1/4x

1/20 = 5x/4x²

1/20 = 5/4x

4x/5= 20

x= 100/4

x = 25

so the two resistors

x and 4x

25 ohm and 100 ohm

venky14800: was it help full
crystinia: Yes :) Thank you! :)
64

The 1st Resistor, R1 = x = 25 Ω

The 2nd Resistor, R2 = 4x = 4 × 25 = 100 Ω

Explanation:

Given,

Two resistors are in the ratio = 1:4

Let the first resistors be x.

Let the second resistors be 4x.

By using the formula of parallel combination of resistors.

1/Rp =1/R1 + 1/R2

.°. Rp = R1 × R2 / R1 + R2

Putting the values

=> 20 = x × 4x / x + 4x

=> 20 = 4x² / 5x

=> 20 = 4x × x / 5 × x

'x' is canceled.

=> 20 = 4x / 5

=> 20 × 5 = 4x

=> 100 = 4x

=> 4x = 100

=> x = 100 / 4

.°. x = 25

Now, putting the values of x to get the resistance of resistors.

So,

The 1st Resistor, R1 = x = 25 Ω

The 2nd Resistor, R2 = 4x = 4 × 25 = 100 Ω

MsPRENCY: Great!
Anonymous: nice
crystinia: Thank you! :)
Anonymous: yes
Anonymous: Nice
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