Answer:
The average power dissipated by the resistor is 72 Watt.
(a) is correct option.
Explanation:
Given that,
Resistance = 2 ohm
Voltage = 17 V
We need to calculate the [tex]V_{rms}[/tex]
Using formula of [tex]V_{rms}[/tex]
[tex]V_{rms}=\dfrac{V}{\sqrt{2}}[/tex]
Put the value into the formula
[tex]V_{rms}=\dfrac{17}{\sqrt{2}}[/tex]
[tex]V_{rms}=12.02\ V[/tex]
We need to calculate the average power dissipated by the resistor
Using formula of power dissipated
[tex]P_{d}=V_{rms}\times I_{rms}[/tex]
[tex]P_{d}=V_{rms}\times \dfrac{V_{rms}}{R}[/tex]
Put the value into the formula
[tex]P_{d}=12.02\times\dfrac{12.02}{2}[/tex]
[tex]P_{d}=72.24 = 72\ Watt[/tex]
Hence, The average power dissipated by the resistor is 72 Watt.
