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

The maximum number of volts that can be placed across the resistor is 20 volts.

Step-by-step explanation:

The maximum number of volts, E, that can be placed across a resistor is given by the formula E = √(P * R), where P is the number of watts of power that the resistor can absorb and R is the resistance of the resistor in ohms. To find E, we can substitute the given values for P and R into the formula and solve:

E = √(2 * 200) = √(400) = 20 volts

Therefore, the maximum number of volts that can be placed across the resistor is 20 volts.

Answer 2

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) * (200 ohms) = 2 watts`

v) Therefore
`I^(2) = (2)/(200) \hspace{0.2cm} = 0.01 \hspace{0.1cm} \therefore I \hspace{0.1cm}= \hspace{0.1cm}√(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
`*` R = 0.01
`*` 200 = 2 volts.

vii) Therefore E = 2 volts.