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COMEDK · Physics · 19. Current Electricity

Across the 220 V source of internal resistance \(20 \Omega\), how many lamps of \(40 \mathrm{~W}, 100 \mathrm{~V}\) can be connected in parallel so that all the lamps may glow with full brightness.

  1. A 40
  2. B 20
  3. C 30
  4. D 15
Verified Solution

Answer & Solution

Correct Answer

(D) 15

Step-by-step Solution

Detailed explanation

Each lamp is rated \(40 \text{ W}\) at \(100 \text{ V}\). The resistance of each lamp is \(R_L = \dfrac{V^2}{P} = \dfrac{100^2}{40} = \dfrac{10000}{40} = 250 \Omega\). Let \(n\) be the number of lamps connected in parallel. The equivalent resistance of \(n\) lamps is…