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

EMF of the power source, E = 19.34 volts

Step-by-step 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{(P)/(R)}`

`I=\sqrt{(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* 2.23`

E = 19.34 volts

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