Question

when resistance 60 ohms and 90 ohms are connected in parallel . how to calculate equivalent resistance .​

Answer 1

$\huge \sf \underline{ \underline{Answer}}$

✯Equivalent Resistance = 36 ohms✯

Explanation:

$\large \sf \underline{ \underline{Given}}$

• Resistors of resistance of 60 ohms and 90 ohms are connected in parallel.

$\large \sf \underline{ \underline{to \: find}}$

• What is the equivalent resistance ?

Formula to be used:

• 1/Rp = 1/R1 + 1/R2...

Solution: Let Rp be the equivalent resistance.

Here we have

• R1 = 60 ohms
• R2 = 90 ohms

Substitute the values on formula

⟹ 1/Rp = 1/60 + 1/90

• LCM of 60 and 90 is 180.

⟹ 1/Rp = 3 + 2/180

⟹ 1/Rp = 5/180

⟹ 1/Rp = 1/36

⟹ Rp = 36 ohms

Hence, the equivalent resistance is 36 ohms.

[ To find equivalent resistance of resistors connected in series ]

• R = R1 + R2 + R3....

[ For parallel ]

• 1/R = 1/R1 + 1/R2 + 1/R3..

___________________________________________