A resultant of two vectors makes 30" with one vector and 45° with the other. Find the two
vectors if the resultant has the magnitude 15
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Energy dissipated \large\rm { = Pt = I^{2} Rt}=Pt=I
2
Rt Joules
Consider Ohm's law \large\rm { V=IR. }V=IR.
In this case the resistors are connected in series and hence, the total resistance is 4+2=6 ohms. In a series circuit, the current remains the same throughout the circuit and so we use the \large\rm { I²Rt }I²Rt Joules formula.
The total current in the circuit is calculated as \large\rm { I = V/R = 6/6 = 1 \ A}I=V/R=6/6=1 A
Therefore, the power dissipated P across the 4 ohm resistor for 5 s
\large\rm { = 1^{2} × 4 × 5 = 20 }=1
2
×4×5=20 Joules
so, answer is 20 Joules
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