Answer :
Answer: P = 0.186W
Explanation: Energy dissipated in this question is tantamount to power.
P = IV
But V = IR
Since the resistor is the same, we can use it in the second solution in the second connection to get power.
Please find the attached file for the solution

Answer:
Rate of energy now dissipated(power)=0.186watt(W)
Explanation:
First of all, find the resistance with the givens;
Power(P)=0.745W
Voltage(V)=3,00V
Resistance=R
Using the Power formula;
[tex]P=\frac{V^{2}}{R} \\\\0.745=\frac{3^{2} }{R} \\\\R=\frac{9}{0.745} \\\\R=12.08ohm[/tex]
Now to find the rate of energy currently dissipated with the same resistor at;
R=12.08Ω
V=1.50V
P=p(watt)
[tex]P=\frac{V^{2}}{R} \\\\P=\frac{1.5^{2} }{12.08} \\P=0.186watt(W)[/tex]