Yes, it is safe to operate the circuit, before the power dissipated is less than the maximum power
Explanation:
For a resistor, the power rating gives the maximum power at which the resistor is safe to operate.
For the resistor in this problem, this maximum power is given and it is
The power dissipated on a resistor can be calculated with the equation
where
V is the potential difference applied on the resistor
R is the resistance
In this problem, we have:
therefore, the power dissipated on the resistor is:
Which is less than the maximum power: therefore, yes, it will be safe to operate the circuit.
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