Question

If a 0.0200-Ω ammeter is in series with a 10.00-Ω resistor, what is the percent decrease in current?

A) 0.02%
B) 0.20%
C) 2.00%
D) 20.00%

Answer 1

To calculate the percentage decrease in current, compare the current through the 10.00-Ω resistor alone with the current through the combination of the 10.00-Ω resistor and the 0.0200-Ω ammeter.

Step-by-step explanation:

To calculate the percentage decrease in current, we need to compare the current through the 10.00-Ω resistor alone with the current through the combination of the 10.00-Ω resistor and the 0.0200-Ω ammeter. The total resistance of the combination can be calculated by adding the individual resistances: 10.00-Ω + 0.0200-Ω = 10.02-Ω.

The percent decrease in current can be found using the formula:

Percent decrease = (Change in current / Initial current) x 100%

Since the resistance increased from 10.00-Ω to 10.02-Ω, the current will decrease. The change in current is given by:

Change in current = Initial current - Current through the combination

Substituting the values into the formula, we can calculate the percent decrease in current.