Question

The maximum number of volts, E, that can be placed across a resistor is given by the formula E = , where P is the number of watts of power that the resistor can absorb and R is the resistance of the resistor in ohms. Find E if P = 2 watts and R200 ohms.​

Answer 1

Answer:

The answer is E = 2 volts.

Step-by-step explanation:

i) The maximum number of volts across a resistor R = E volts

ii) The value of the resistance, R = 200 ohms

iii) The value of the power absorbed by the resistor in watts, P = 2 watts.

iv) The formula for the power absorbed by a resistor is given by

    P = $I^{2}$R = $I^{2} \times (200 ohms) = 2 watts$

v) Therefore  $I^{2} = \frac{2}{200} \hspace{0.2cm} = 0.01 \hspace{0.1cm} \therefore I \hspace{0.1cm}= \hspace{0.1cm}\sqrt{0.01} \hspace{0.1cm} = 0.1 \hspace{0.1cm}amps$

vi) therefore from the formula for the voltage drop across resistor we get

   E = I  $\times$  R =  0.01 $\times$ 200 = 2 volts.

vii) Therefore E = 2 volts.