Question

What is the resistance must be connected in parallel with a 1.0ohm resistance to give

Answer 1

Answer:

The resistance must be:

• 0.25 ohms.

Explanation:

Remember the formula to obtain equivalent resistance:

1. $\frac{1}{equivalent-resistance} =\frac{1}{R1}+\frac{1}{R2}$

How we know the value of the equivalent resistance (0.2 ohms) and the value of the resistance 1 (R1= 1.0 ohm), we can replace these values in the formula 1:

• $\frac{1}{0.2}= \frac{1}{1}+\frac{1}{R2}$

And we operate:

• $5=1+\frac{1}{R2}$

Now, we clear the variable R2:

• $5-1=\frac{1}{R2}$
• $4=\frac{1}{R2}$
• $R2*4=1$
• $R2=\frac{1}{4}$
• $R2=0.25$ ohms

The value is given in Ohms because that was the unit used in the other variables. In this form, you can know that the resistance that must be used to obtain an equivalent resistance of 0.2 Ohms is 0.25 Ohms in parallel with a resistance of 1.0 Ohm.