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The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. The value of R is: (A) 8 Ω (B) 6 Ω(B) 16 Ω (D) 1 Ω |
Answer» answer : option (A) 8Ωfirst of all find the equivalent resistance. two 4R resistors are joined in parallel combination. 1/R₁ = 1/4R + 1/4R ⇒R₁ = 2R 6R and 12R are joined in parallel combination. 1/R₂ = 1/6R + 1/12R = 3/12R = 1/4R ⇒R₂ = 4R now R₁ , R₂ , two R's are joined in SERIES combination. Req = R₁ + R₂ + R + R = 2R + 4R + R + R = 8R now use FORMULA, P = V²/Req ⇒4 = (16)²/8R ⇒8R = 256/4 = 64 ⇒R = 8Ω hence option (A) is correct choice. also read similar questions : A body is in pure rotation. The linear SPEED v of a particle, the distance r of the particle from the axis and the angul... The equivalent resistance between points X and Y in the following figure is _____ (A) 4 Ω (B) 2 Ω (C) 1 Ω (D) 3 Ω |
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