Question

A large spool in an electrician's workshop has 85 m of insulation-coated wire coiled around it. When the electrician connects a battery to the ends of the spooled wire, the resulting current is 1.9 A. Some weeks later, after cutting off various lengths of wire for use in repairs, the electrician finds that the spooled wire carries a 2.9-A current when the same battery is connected to it. What is the length of wire remaining on the spool?

Answer 1

To determine the length of wire remaining on the spool, we can use the formula current = charge / time. However, given the information provided, we cannot determine the length of wire remaining.

Step-by-step explanation:

To calculate the length of wire remaining on the spool, we need to use the formula: current = charge / time. In this case, we have two different currents: 1.9 A and 2.9 A. Let's use the formula with both currents:

1.9 A = (charge remaining) / (time)

2.9 A = (charge remaining) / (time)

We can rearrange the formula to solve for charge remaining:

charge remaining = current * time

Since the time is the same in both equations, we can set the two expressions equal to each other:

1.9 A * time = 2.9 A * time

Now, we can solve for the time:

1.9 A * time = 2.9 A * time

time cancels out on both sides:

1.9 A = 2.9 A

This equation is not true, which means there must be an error in the problem or the given information. Without further information, we cannot determine the length of wire remaining on the spool.