Question

You are designing an experiment for a research project. A very delicate computer sensor requires that it be operated at a voltage of 11.7 V and a power of 26.37 W. If the wires and connectors connecting the experiment to its power source have a total resistance of 2.23 Ohms, what must you design the EMF of the power source to be?

Answer 1

Answer:

EMF of the power source, E = 19.34 volts

Explanation:

It is given that,

Voltage at which computer sensor is operated, V = 11.7 V

Power, P = 26.37 W

Total resistance of the power source, R = 2.23 Ohms

Firstly, calculating the current in the circuit. It is calculated as :

$P=I^2R$

$I=\sqrt{\dfrac{P}{R}}$

$I=\sqrt{\dfrac{26.37}{2.23}}$

I = 3.43 A

Let E is the emf of the power source. It is given by,

$E=V+IR$

$E=11.7+3.43\times 2.23$

E = 19.34 volts

Hence, the EMF of the power source is 19.34 volts. Hence, this is the required solution.