Work = (-1.6 × 10^-19 C) × (-12 V) = 1.92 × 10^-18 J
The work done on an electron by an electric field is given by the equation:
Work = Charge × Potential Difference
Potential difference, also known as voltage, is the difference in electric potential between two points in an electrical circuit. It is a measure of the work done per unit charge in moving a charge from one point to another.
In practical terms, potential difference is what drives the flow of electric current in a circuit. It is typically measured in volts (V) and is represented by the symbol "V". When there is a potential difference between two points in a circuit, charges will move from the higher potential (positive terminal) to the lower potential (negative terminal) in order to equalize the difference
Since the charge of an electron is -1.6 × 10^-19 C and the potential difference is (-12 V - 0 V) = -12 V, the work done on the electron is:
Work = (-1.6 × 10^-19 C) × (-12 V) = 1.92 × 10^-18 J
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Discuss whether any work is being done by each of the following agents and, if so, whether the work is positive or negative. (c) a crane lifting a bucket of concrete
The crane lifting the bucket of concrete is doing positive work as it applies a force in the direction of the displacement.
In the case of a crane lifting a bucket of concrete, work is indeed being done. The work done by the crane can be determined by the equation:
Work = Force x Distance x cos(θ)
Here, the force is the upward force exerted by the crane on the bucket, the distance is the vertical displacement of the bucket, and θ is the angle between the force and the displacement.
Since the crane is lifting the bucket upward, the force exerted by the crane and the displacement of the bucket are in the same direction. Therefore, the angle θ between them is 0 degrees, and the cosine of 0 degrees is 1. As a result, the work done by the crane is positive.
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