Question

two resistors are connected in parallel. The equivalent resistor is 3.75 Ohm. If one resistor has resistance of 10 Ohm . What is the resistance of second resistor?​

Answer 1

Answer:

6 ohms

Explanation:

Given:

Resistance of the resistor 1 = 10 ohms

Equivalent resistance = 3.75 ohms (By connecting both in parallel)

To find:

• Resistance in the second resistor)

If two resistors are connected in parallel, then $\frac{1}{Equivalent\ Resistance}$ = $\frac{1}{R1} +\frac{1}{R2}$

Let the unknown resistance in the second resistor be X

Substituting the above values, we get:

$\frac{100}{375} =\frac{1}{10}+\frac{1}{X}$

$\frac{200}{750} -\frac{75}{750} = \frac{1}{X}$

$\frac{125}{750} = \frac{1}{X}$

$\frac{1}{6} = \frac{1}{X}$

X = 6 ohms

The second resistor has a resistance of 6 ohms