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Answer :
Answer:
the value of the resistance is 1 Ω
Explanation:
The formula for calculating energy dissipated as heat in a resistor is:
- E = I²RT
Where,
- I is current
- R is Resistance
- T is time
we are given :
5A of current flowing through a resistor for 2 minute produced 3000 j of heat.
- Here, Current (I) = 5A
- Time (t) = 2 minutes = 120 seconds
Plug in the given values in the above formula
- 3000 = 5²*R*120
- 3000 = 25*R*120
- 3000 = 3000R
divide both sides by 3000
- R = 1 Ω
Hence, the value of the resistance is 1 Ω
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Final answer:
Using the power and energy formulas in combination with Ohm's Law, the value of the resistance that produces 3000 J of heat when 5A of current flows through it for 2 minutes is found to be 1 Ω (ohm).
Explanation:
When 5A of current flow through a resistor for 2 minutes and produce 3000 J (joules) of heat, we use the formula for power (P = VI), and the energy (E) formula E = Pt to find the resistance. First, we calculate the power as P = E/t, where E is energy in joules, and t is time in seconds. In this case, E = 3000 J and t = 2 minutes, which is 120 seconds. So P = 3000 J / 120 s = 25 W (watts). Since P = I²R, we can solve for R, the resistance, as R = P / I². Given that I = 5 A, we find that R = 25 W / (5 A)² = 1 Ω (ohm).
