Question

The current in a simple electrical circuit is inversely proportional to the resistance. If the current is 4040 amperes​ (an ampere is a unit for measuring​ current) when the resistance is 33 ​ohms, find the current when the resistance is 7.17.1 ohms. When the resistance is 7.17.1 ​ohms, the current is nothing amperes. ​(Type an​ integer, proper​ fraction, or mixed​ number.)

Answer 1

Since the current in a simple electrical circuit is inversely proportional to the resistance, let i = v/r, where i is the current flowing through a circuit, v is the voltage and r is the resistance (Ohm's law). When i = 4040 amperes, we have r = 33ohms so that 4040 = v/33 or, v = 33*4040 = 133320 volts. Now, when r = 7,171 ohms, we have i =133320/7171 = 18.59 amperes.

Note: There seems to be a mistake in the figure 7.17.1 ohms. We have assumed it to be 7,171 ohms. If the figure is different, the answer will change. The method, however, will be the same.