Question

Сила тока, текущего через резистор, меняют от 2 А до 8 А. Напряжение на резисторе меняется при этом от 8 В до 32 В. Чему равно сопротивление резистора? 1) 2 Ом 2) 8 Ом 3) 4 Ом 4) Данные вопроса противоречивы. Пожалуйста, напишите с решением.

Answer 1

I=8-2=6A
U=32-8=24B
R=U/I=24/6=4Ом

Answer 2

Calculating the Resistance of the Resistor

To calculate the resistance of the resistor, we can use Ohm's law, which states that the voltage across a resistor is directly proportional to the current flowing through it. The formula for Ohm's law is:

V = I * R

Where: - V = voltage across the resistor - I = current flowing through the resistor - R = resistance of the resistor

Given that the current through the resistor varies from 2 A to 8 A and the voltage across the resistor varies from 8 V to 32 V, we can use the above formula to find the resistance.

Calculation

1. When the current is 2 A, the voltage is 8 V: Using Ohm's law: 8 V = 2 A * R Solving for R: R = 8 V / 2 A = 4 Ω

2. When the current is 8 A, the voltage is 32 V: Using Ohm's law: 32 V = 8 A * R Solving for R: R = 32 V / 8 A = 4 Ω

Conclusion

The resistance of the resistor is 4 Ω. Therefore, the correct answer to the question is 3) 4 Ω.