You have built a device that measures the temperature outside and displays it on

Question

You have built a device that measures the temperature outside and displays it on a dial as a measure of how far away from room temperature outside is. The way the dial works is that a needle with a charged ball on the end is placed between two charged parallel plates. The strength of the uniform electric field between the plates is proportional to the outside temperature. Given that the charged ball on the needle has a charge of ?2.45

You have built a device that measures the temperature outside and displays it on a dial as a measure of how far away from room temperature outside is. The way the dial works is that a needle with a charged ball on the end is placed between two charged parallel plates. The strength of the uniform electric field between the plates is proportional to the outside temperature. Given that the charged ball on the needle has a charge of ?2.45 muC and the needle can be represented as a string with tension 0.350 N, and is at an angle of 12 degree,consider the following. What is the mass of the object? g What is the magnitude of the electric field? N/C

Explanation / Answer

As the sum of forces along y is

T cos 12 - mg = 0

--> m = T cos 12 / g

m = 0.0349 kg   [ANSWER, PART A]

**************

As the sum of forces along x is

T sin 12 - qE = 0

--> E = T sin 12 / q

Thus,

E = 2.97*10^4 N/C   [ANSWER, PART B]

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