Answer:
The required work done to move an electron through a potential difference of 3 volts is 4.80×10⁻¹⁹ J.
Explanation:
Work done: The product of charge and potential difference.
W= q·ΔV.
q= charge
ΔV=potential difference
We know,
The charge of an electron is= 1.6×10⁻¹⁹ C.
ΔV= 3.00 volts.
W= q·ΔV
=( 1.6×10⁻¹⁹ C )× (3.00 volts)
=4.80×10⁻¹⁹ J
The work done to move an electron through a potential difference of 3 volts is 4.80×10⁻¹⁹ J.
The amount of work required to move an electron is 4.8×10⁻¹⁹ J.
Electric Potential difference: This can be defined as the work done in moving 1 coulomb of electric charge from one point to another in an electric field.
The Formula for potential electric potential energy is given as
W = QV..................... Equation 1
Where W = Amount of work required to move an electron, V = potential difference, Q = charge on an electron.
From the question,
Given: V = 3.00 volts, Q = 1.60×10⁻¹⁹ C.
Substitute these values into equation 1
W = 3(1.60×10⁻¹⁹)
W = 4.8×10⁻¹⁹ J
Hence, The amount of work required to move an electron is 4.8×10⁻¹⁹ J
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