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Chapter 27: Q. 31 (page 763)

The terminals of a 0.70V watch battery are connected by a 100m long gold wire with a diameter of 0.10mm. What is the current in the wire?

Short Answer

Expert verified

The current in the wire is2.29mA.

Step by step solution

01

Given Information

Voltage=0.70V

Gold wire length=100m

Diameter=0.10mm

02

Explanation 

If we can calculate the potential difference across the wire and the resistance, we can find the current according to Ohm's law.

I=UR鈫�(1)

The resistance of the conductor appears in the following expression:

R=蚁LA鈫�(2)

Substituting the second expression into the first one,

I=AU蚁L.

The cross-section area is a circle, we can substitute A=蟺D24to find

I=蟺UD24蚁L

Substitute the expression,

role="math" localid="1649055691425" I=蟺脳0.7V脳0.00012mm4脳2.4脳10-8惟m脳100m

I=2.29mA

03

Final Answer 

Hence, the current in the wire is2.29mA.

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