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A capacitor consists of two square metal plates, each measuring 5.00 š‘„ 10^āˆ’2m on a


side. In between the plates is a sheet of mica measuring 1. 00 š‘„ 10^āˆ’4m thick.



(a) What is the capacitance of this capacitor? If the charge in one plate is


2. 00 š‘„ 10^āˆ’8C.




(b) What is the potential difference and




(c) What is the electric field between the plates?



Given: Permittivity of Mica


(šœ– = 4.8 š‘„ 10^āˆ’11š¶^2 / š‘. š‘š^2)

With the aid of appropriate diagram, illustrate income and substitution effect for an increase in price of goods x

For the problem below, what is theĀ initial volume?

Edelman and Gronkowski want to play a game of beach volleyball. If the beach ball has a volume of 400 L at a temperature of 500 K, what will the temperature of the balloon be if the volume decreases to 176 L?


A line segment has end points A (-12, -11) and B (6, 19). Find the three points that divide AB into four equal pieces. A) show that the line segment with end points A (5,3) and B (5 ,-5) is a chord of the circle X to the power of 2 + Y to the power of two = 34


The first term,seventh term and nth term of an AP are 4, 28 and 32 respectively. Calculate the number of terms in the sequence.


An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal, find the probability that a randomly selected battery of this type will last less than 48 months.

A point charge of -6. 00š‘„10^āˆ’9C is 3.00m from point A and 5.00m from point B.




(a) Find the potential at point A and point B.




(b) How much work is done by the electric field in moving a 2.00 nC particle


from point A to point B?

Outline the expansion of the Bantu’s


A model car is moving around a circular track of radius 3.0Ā m at a speed of 1.5Ā mĀ sāˆ’1Ā as shown in the figure. It takes the car 12.6Ā s to complete one full lap.

What is the magnitude of theĀ averageĀ velocityĀ of the car (a) between point A and point B? (in mĀ sāˆ’1Ā to 2 s.f)

NOTE: The motion of the car is NOT an example of constant acceleration.


Describe the main sources of historian’s know of Ancient Africa up to the Sixth century A.D.

Not more than two pages


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