Question

Find equivalent resistance.

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Answer 1

R = 4.77 ohms

Step-by-step explanation:

Four resistors are given such that,

R₁ = 2 ohms

R₂ = 3 ohms

R₃ = 5 ohms

R₄ = 10 ohms

Here, R₁ and R₂ in series. The equivalent is given by :

R₁₂ = R₁ + R₂

= 2 + 5

R₁₂ = 7 ohms

Similarly, R₃ and R₄ are in series. so,

R₃₄ = R₃ + R₄

= 10+5

R₃₄ = 15 ohms

Now, R₁₂ and R₃₄ are in parallel. So,

`(1)/(R)=(1)/(R_(12))+(1)/(R_(34))\\\\(1)/(R)=(1)/(7)+(1)/(15)\\\\R=4.77\ \Omega`

So, the equivalent resistance s 4.77 ohms.