Show that the electrical charge inside a conductor decreases exponentially with time.
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Show that the electrical charge inside a conductor decreases exponentially with time.
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- The electric field inside a 70-cm "-long" copper wire is 0.020 V/m. What is the potential difference between the ends of the wire?An electrical technician requires a capacitance of 2 µF in a circuit across a potential difference of 1 kV. A large number of 1 µF capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the minimum number of capacitors.Imagine that two parallel plates are charged to achieve a voltage difference Vo between the plates. They have area A and spacing d. The plates are then electrically isolated so that no charge can be added or taken away. A good conductor of thickness d/2 is placed in between the two plates, as shown. Does the voltage difference of the plates change? Why or why not? If yes,what is it in terms of the old voltage difference V? (Don’t forget ∆V=-integral of Edx.)
- A coaxial cable used in a transmission line has an inner radius of 0.11 mm and an outer radius of 0.65 mm. Calculate the capacitance per meter for the cable. Assume that the space between the conductors is filled with a material with a dielectric constant of 3.0. Number UnitsA student reaches to open a door and gets a small electric shock. She knows that the shock is caused by static electricity, but it seems like in the winter she gets shocked more than in the summer. The student asks her science teacher if there are times of the year when there is more static electricity that builds up than other times of the year. The teacher replies that there is, and it depends on the humidity, or moisture in the air. The more humid the air is, the less static will build up and, therefore, the less you get shocked. Explain why static electricity does not build up as much when the air is humid. In your response, be sure to include: an explanation of static electricity is formed. an explanation of why the student felt a shock when reaching for the door handle. an explanation of how moisture in the air allows static electricity to dissipate. Be sure to consider the completeness of your response, supporting details, and accurate use of terms.