In the following circuit the value of R required for the transfer of maximum power through load resistance of 10 Ω is

(a) 5 Ω (b) 15 Ω (c) 10 Ω (d) 20 Ω

Question

In the following circuit the value of R required for the transfer of maximum power through load resistance of 10 Ω is

(a) 5 Ω (b) 15 Ω (c) 10 Ω (d) 20 Ω

Accepted Answer

Let the required resistance be [latex] R_x [/latex]. Then

[latex] R_{ eq }=\frac{10 imes R_x}{10+R_x} [/latex]

When [latex] R=5 \Omega, R_{ eq }=3.33 \Omega [/latex]

[latex] P_{5 \Omega}=I_5^2 imes 3.33, I_5=\frac{20}{R_{ eq }+5} [/latex]

I is maximum and power is maximum ≅ 50 W

Chapter 1