Question

Someone please help me with finding the resistance of these circuits! I will give brainliest if right!!

Answer 1

4. The total resistance in a parallel circuit is the sum of the reciprocals of the resistances.

$\frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2} ...\\\frac{1}{R_1} = \frac{1}{3} +\frac{1}{5} +\frac{1}{6} \\\frac{1}{R_T} = \frac{7}{10} \\R_T=\frac{10}{7}$

Therefore, the total resistance is $\frac{10}{7}$ Ω, or approximately 1.43 Ω.

5. The total resistance in a series circuit is the sum of the resistance.

$R_T=R_1+R_2...\\R_T=3+10+5\\R_T=18$

Therefore, the total resistance is 18 kΩ.

6. a)

$\frac{1}{R_T} = \frac{1}{7}+\frac{1}{5} +\frac{1}{2} \\\frac{1}{R_T} =\frac{59}{70} \\R_T=\frac{70}{59}$

Therefore, the total resistance is $\frac{70}{59}$ Ω, or approximately 1.19 Ω.

b)

$R_T=R_1+R_2...\\R_T=2+5\\R_T=7$

Therefore, the total resistance is 7 Ω.

c)

$R_T=R_1+R_2...\\R_T=2+5+7\\R_T=14$

Therefore, the total resistance is 14 Ω.

I hope this helps!