An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (a) current across the headlight bulbs when they are the only load on the battery? An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (b) potential difference across the headlight bulbs when they are the only load on the battery? An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (c) potential difference across the headlights when the starter motor is operated in a parallel circuit to the headlights, taking an additional 34 A from the battery?

An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (a) current across the headlight bulbs when they are the only load on the battery? An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (b) potential difference across the headlight bulbs when they are the only load on the battery? An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (c) potential difference across the headlights when the starter motor is operated in a parallel circuit to the headlights, taking an additional 34 A from the battery?

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Question

An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (a) current across the headlight bulbs when they are the only load on the battery?

An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (b) potential difference across the headlight bulbs when they are the only load on the battery?

An automobile battery has an emf of 12.4 V and an internal resistance of 0.09 Ω. The headlights have a total resistance of 5.0 Ω (assumed constant). What is the (c) potential difference across the headlights when the starter motor is operated in a parallel circuit to the headlights, taking an additional 34 A from the battery?

Expert Solution

Step 1

The resistive circuits are governed by Ohm's law, which is as follows,

$E = I R (1)$

here E is the emf of battery, R is the resistance and I is the current flowing in the circuit.

When two resistors r and r' are connected in series the resultant resistance is,

and in parallel connection the resultant of two resistances is,

$R_{p a r a l l e l} = \frac{1}{\frac{1}{r + r'}} = \frac{r r'}{r + r'}$

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