Photo AI

A rubber belt in an electrostatic machine has a width of 0.1 m and moves with speed 0.4 m s<sup>-1</sup> - AQA - A-Level Physics - Question 21 - 2019 - Paper 1

Question icon

Question 21

A-rubber-belt-in-an-electrostatic-machine-has-a-width-of-0.1-m-and-moves-with-speed-0.4-m-s<sup>-1</sup>-AQA-A-Level Physics-Question 21-2019-Paper 1.png

A rubber belt in an electrostatic machine has a width of 0.1 m and moves with speed 0.4 m s<sup>-1</sup>. Each square metre of the belt carries a charge Q coulomb. T... show full transcript

Worked Solution & Example Answer:A rubber belt in an electrostatic machine has a width of 0.1 m and moves with speed 0.4 m s<sup>-1</sup> - AQA - A-Level Physics - Question 21 - 2019 - Paper 1

Step 1

Calculate the area of the belt

96%

114 rated

Answer

The width of the belt is 0.1 m, and the length it moves in one second can be calculated by multiplying its speed (0.4 m/s) by the time (1 s). Therefore, the area A of the belt in one second is:

A=extwidthimesextlength=0.1extmimes0.4extm=0.04extm2A = ext{width} imes ext{length} = 0.1 ext{ m} imes 0.4 ext{ m} = 0.04 ext{ m}^2

Step 2

Determine the total charge collected

99%

104 rated

Answer

Each square meter of the belt carries a charge Q coulomb. Thus, the total charge Q<sub>total</sub> collected by the sphere each second is given by:

Qtotal=AimesQ=0.04extm2imesQQ_{total} = A imes Q = 0.04 ext{ m}^2 imes Q Since we need to find the amount based on the area computed previously, we have:

Qtotal=0.04QQ_{total} = 0.04Q

Join the A-Level students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;