Answer: 0.1 Amps
Explanation:
Given that,
heat released (H) = 4800 J
Time taken (T) = 8 minutes
Since the unit of time is seconds, convert 8 minutes to seconds
(1 minute = 60 seconds
8 minutes = 8 x 60 = 480 seconds)
current in the conductor (I) = ?
The conductor resistance (R) = 1kΩ
Convert kilo-Ohms (kΩ) to ohms (Ω)
(If 1000Ω = 1kΩ
1kΩ = 1000Ω)
Now, apply the formula:
H = I²RT
4800J = I² x 1000Ω x 480 Seconds
4800J = 480000Ω•I²
Divide both sides by 480000Ω
4800J/480000Ω = 480000Ω•I²/ 480000Ω
0.01 = I²
To get the value of I, find the square root of I²
I = √0.01
I = 0.1 Amps
Thus, the current in the conductor is 0.1 Amps
