Question

В проводнике сопротивлением 20 Ом установилась сила тока 1А. Заменяя этот проводник другим с сопротивлением 10 Ом, а затем 5 ом, и, наконец 1 ом. Какой будет сила тока в каждом из этих проводников. Постройте график зависимости I (R) по данным значениям масштаб выберете сами

Answer 1

Вот решение на картинке .

Answer 2

Answer in detail. In a conductor with a resistance of 20 ohms, a current of 1 A was established. Replacing this conductor with another one with a resistance of 10 ohms, and then 5 ohms, and finally 1 ohm. What will be the current in each of these conductors. Plot the dependence of I (R) on these values, choose the scale yourself.

This is a physics problem that requires applying Ohm's law, which states that the current I in a conductor is proportional to the voltage U across it and inversely proportional to the resistance R of the conductor. The formula is:

$$I = \frac{U}{R}$$

To solve this problem, we need to know the voltage U across the conductor, which can be found by multiplying the current and the resistance of the original conductor:

$$U = IR = 1 A \times 20 \Omega = 20 V$$

Now, we can use this value of U to find the current in each of the other conductors by dividing the voltage by the resistance:

$$I_1 = \frac{U}{R_1} = \frac{20 V}{10 \Omega} = 2 A$$ $$I_2 = \frac{U}{R_2} = \frac{20 V}{5 \Omega} = 4 A$$ $$I_3 = \frac{U}{R_3} = \frac{20 V}{1 \Omega} = 20 A$$

The graph of the dependence of I (R) can be plotted by taking the resistance as the x-axis and the current as the y-axis. The points are:

- (20, 1) - (10, 2) - (5, 4) - (1, 20)

The graph is a hyperbola that approaches the axes asymptotically. The scale can be chosen arbitrarily, but one possible choice is to take 1 unit on the x-axis as 5 ohms and 1 unit on the y-axis as 5 amps. The graph would look something like this:

![graph]