What is the effective resistance of a parallel circuit composed of three 15 Ohm resistors? Select one:a.3/15 Ohmsb.15 Ohms c.3 Ohmsd.5 Ohms

Respuesta :

First, let us draw the situation. We have the following:

When resistors are connected in parallel, their resulting resistance can be calculated as:

[tex]\frac{1}{R_t}=\frac{1}{R_1}+...+\frac{1}{R_n}[/tex]

Then, in our case:

[tex]\frac{1}{R_t}=\frac{1}{15}+\frac{1}{15}+\frac{1}{15}=\frac{3}{15}[/tex]

Then, our total resistance is:

[tex]R_t=\frac{15}{3}=5\Omega[/tex]

Our final answer is R=5 Ohms

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