Question

При прохождении по проводнику электрического тока силой 4 А в течение 2 минут совершается работа 96 кдж. Чему равно сопротивление проводника?

Answer 1

A=UIt=>U=A/It= 96000/(4*120)=200;
$R= \frac{U}{I}= \frac{200}{4} =50$ Ом

Answer 2

 Q=A=I²Rt 
>>>R=Q : I² * t

R=96000 / 16*120=50 Ом 

Answer 3

Calculation of Resistance

To calculate the resistance of a conductor, we can use Ohm's Law, which states that resistance (R) is equal to the voltage (V) divided by the current (I). In this case, we are given the current (4 A) and the time (2 minutes) during which a certain amount of work is done.

The work done (W) can be calculated using the formula W = V * I * t, where V is the voltage, I is the current, and t is the time. We are given that the work done is 96 kJ (kilojoules).

To find the voltage, we can rearrange the formula as V = W / (I * t). Substituting the given values, we have:

V = 96 kJ / (4 A * 2 minutes)

Before we proceed with the calculation, we need to convert the time from minutes to seconds, as the SI unit for time is seconds. There are 60 seconds in a minute, so 2 minutes is equal to 2 * 60 = 120 seconds.

Now we can calculate the voltage:

V = 96 kJ / (4 A * 120 s)

To convert kilojoules to joules, we multiply by 1000:

V = (96 kJ * 1000) / (4 A * 120 s)

V = 96000 J / (4 A * 120 s)

V = 800 J / (4 A * 120 s)

V = 800 J / 480 A*s

V = 1.67 V

Now that we have the voltage, we can calculate the resistance using Ohm's Law:

R = V / I

R = 1.67 V / 4 A

R = 0.4175 Ω

Therefore, the resistance of the conductor is approximately 0.4175 Ω.