A battery with an emf of 12.0 V shows a terminal voltage of 11.8 V when operating in a circuit with two lightbulbs rated at 3.0 W (at 12.0 V) which are connected in parallel. Find the equivalent resistance of the two bulbs in parallel.

Respuesta :

Answer:

[tex]R = 24 ohm[/tex]

Explanation:

As we know that terminal voltage and EMF of cell is given as

[tex]V = EMF - ir[/tex]

[tex]ir = 12 - 11.8[/tex]

[tex]ir = 0.2 Volts[/tex]

resistance of two bulbs is given as

[tex]R = \frac{V^2}{P}[/tex]

[tex]R = \frac{12^2}{3}[/tex]

[tex]R = 48 ohm[/tex]

now these two bulbs are connected in parallel

so equivalent resistance is given as

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]

[tex]\frac{1}{R} = \frac{1}{48} + \frac{1}{48}[/tex]

so we have

[tex]R = 24 ohm[/tex]