Question

calculate the equivalent resistance of the following combination of resistors

Answer 1

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Answer 2

Given - Resistor combination

Find - Equivalent resistance

Solution - The resistors 2 ohm and 3 ohm are connected in parallel. So, their equivalent resistance R1 will be -

R1 = $\frac{2 \times 3}{2 + 3}$

Performing multiplication in numerator and addition in denominator

R1 = $\frac{6}{5} ohm$

Performing division

R1 = 1.2 ohm

Now, resistor 4 ohm and 2 ohm are connected in series. So, equivalent resistance R2 will be = 4 + 2

Performing addition

Equivalent resistance = 6 ohm

Now, equivalent resistance R1 and R2 will be connected in parallel. Hence, equivalent resistance R of overall combination = $\frac{1.2 \times 6}{1.2 + 6}$

Performing multiplication in numerator and addition in denominator

R = $\frac{7.2}{7.2}$

Performing division

R = 1 ohm

Hence, equivalent resistance of given combination of resistors is 1 ohm.