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A power transmission cable made of copper consists of three segments with varying radii. Segments A and C have the same radius of 5.0 cm and are thrice that of segment B as shown below. The current passing through segment A is 1000 A. Calculate the current density J in each of these three segments.
A bicycle owner wants to electroplate the handlebars with 0.4 g of nickel using a solution with singly charged nickel ions. In mA, how much current is needed to complete the electroplating process in 3.0 hours?
A high-speed train operates with a power supply system that utilizes overhead wires for electrical transmission. The overhead wire has an outer diameter of 4 cm and an inner diameter of 3 cm. The wire carries a current of 1000 A. Calculate the current density in the wire.
A copper pipe is 5.0 m long. The outer diameter is 5.125 inches, while the inner diameter is 4.805 inches. What is the resistance of the pipe when measured i) along its length ii) along its wall thickness? Assumes each area acts like an equipotential surface.
A 3.0 m long wire with a radius of 1.0 mm is made of a material with a conductivity of 6.2 x 107 Ω-1m-1. A current of 2.5 A flows through the wire. Determine i) the wire's conductance and ii) the potential drop across the wire.
The figure below illustrates the current versus voltage difference relationship for an unknown resistor. Determine the resistance of the resistor.
A device for administering electric shock operates at 1280V and delivers a current of 18.8 mA creating a painful shock on the target. A pulse lasts 50.0 milliseconds. Determine the power and energy delivered to the target per pulse if the current is constant.
An electrical circuit with two power sources is connected as shown. Determine the power at which electrical energy is converted to other energy forms in the 6.0 V power supply.
There are two options to choose from: investing in a $10.00 compact fluorescent bulb that lasts for 12,000 hours, or opting for a $1.00 halogen bulb with a lifespan of 1,000 hours. The compact fluorescent bulb consumes 12 W, while the halogen bulb consumes 48 W. Considering an electricity cost of $0.12/kWh, what would be the total cost, including the initial purchase price and energy usage, to achieve 12,000 hours of illumination for each bulb? This evaluation is commonly known as a life-cycle cost analysis.
Consider a hospital that consumes 50,000 kWh of electrical energy monthly. Given that the supply voltage to the hospital is 230 V, calculate the average current flowing through the hospital's power line.
Consider two wires A and B, in which the number of electrons flowing per unit of time is the same. The wires are identical in terms of material, but the diameter of wire A is 0.8 cm, and of wire B is 1.6 cm. If in wire A electron drift speed is 3.2 × 10-4 m/s, find the electron drift speed in wire B.
Determine the drift speed of the electron, given that 2.1 × 1019 electrons pass through a cross-section of a 1.4 mm diameter copper wire in 12s. The number density of electrons in copper is 8.5 × 1028 m-3.