For an experiment, a student wants to maximize the power output for a circuit. The student has three resistors of resistances 512, 1012, and 20 S, and a 5 V battery. Which of the following best describes how the students should arrange the resistors so that when they are connected to the battery it will maximize the power output for the circuit and explains why? a) The student should place all resistors in parallel, because the battery supplies more current to a parallel combination than to a series combination b) The student should place all resistors in parallel, because the potential difference across all the resistors is less for a parallel combination than for a series combination c) The student should place all resistors in series, because this creates the largest equivalent resistance d) The student should place all resistors in series, because the battery supplies more current to a series combination than to a parallel combination e) The student should place all resistors in series, because the potential difference across all the resistors is greater in series than in parallel

Respuesta :

The option that best describes how the students should arrange the resistors to maximize power output for the circuit is :

( A )The student should place all resistors in parallel, because the battery supplies more current to a parallel combination than to a series combination.

Determine the power output

Given data :

Resistor values : 5Ω,  10Ω,  20Ω

Voltage ( v ) = 5 V

For a series circuit

Req = 5 + 10 + 20 = 35 Ω

For a parallel circuit

Req = 1/5 + 1/10 + 1/20 = 20 / 7 Ω

Given that : Power = V / Req

For a series circuit : P = 5 / 35 = 0.143 watt

For a parallel circuit : P = 5 / ( 20 / 7 ) = 1.75 watt

Hence we can conclude that The student should place all resistors in parallel, because the battery supplies more current to a parallel combination than to a series combination.

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