Question

the current that flows through an electrical circuit is inversely proportional to the resistance of that circuit. when the resistance r is 200 ohms, the current i is 1.2 amperes. find the current when the resistance is 170 ohms. (include units in your answer. more information. round your answer to one decimal place.)

Answer 1

When the resistance in a circuit is reduced from 200 ohms to 170 ohms, the current increases from 1.2 amperes to approximately 1.4 amperes, according to Ohm's Law.

Step-by-step explanation:

The question concerns the principle that the current that flows through an electrical circuit is inversely proportional to the resistance of that circuit, which is a fundamental concept in Physics and specifically relates to Ohm's Law.

Given that when the resistance (R) is 200 ohms, the current (I) is 1.2 amperes, we can use Ohm's Law to find the constant of proportionality (V):

V = IR

V = 1.2 A * 200 Ω

V = 240 V

The voltage (V) remains constant in this scenario, so when the resistance is 170 ohms, we can rearrange Ohm's Law to find the new current:

I = V/R

I = 240 V / 170 Ω

I = 1.41 A (rounded to one decimal place)

Therefore, when the resistance is 170 ohms, the current is approximately 1.4 amperes.