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Two 20 ohm resistors are connected in parallel and two 10 ohm resistors are connected in parallel. If these two combinations are connected in series the equivalent resistance of the combination is: a) 20 ohm b) 10 ohm c) 15 Ohm d) 30 Ohm

Respuesta :

The equivalent resistance of the combination is 15 ohm. Option C is correct.

What is resistance?

Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Resistance is the enemy of the flow of current.

Case 1: Two 20 ohm resistors are connected in parallel;

[tex]\rm \frac{1}{R_{eq}_1} =\frac{1}{R_1} +\frac{1}{R_2} \\\\ \rm \frac{1}{R_{eq}_1} =\frac{1}{20} +\frac{1}{20} \\\\ R_{eq}_1}= 10 \ ohm[/tex]

Case 2: Two 10-ohm resistors are connected in parallel.

[tex]\rm \frac{1}{R_{eq}_2} =\frac{1}{R_1} +\frac{1}{R_2} \\\\ \rm \frac{1}{R_{eq}_2} =\frac{1}{10} +\frac{1}{10} \\\\ R_{eq}_2}= 5 \ ohm[/tex]

Case 3; Two combinations are connected in series.

[tex]\rm R= R_{eq_1}+R_{eq_2}\\\\ \rm R= 10+ 5 \\\\ R=15 \ ohm[/tex]

The equivalent resistance of the combination is 15 ohm.

Hence, option C is correct.

To learn more about the resistance refer to the link;

https://brainly.com/question/20708652

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