Light from the sun allows a solar cell to move electrons from the positive to the negative terminal, doing 2.4×10⁻¹⁹ J of work per electron. What is the emf of this solar cell?

Verified step by step guidance

1. Understand the problem: The work done per electron by the solar cell is given as 2.4×10^−19 J. The emf (electromotive force) of the solar cell is the energy provided per unit charge, which is equivalent to the work done per electron in this case. The relationship between work, charge, and emf is given by the formula: $W=qV$, where W is the work, q is the charge, and V is the emf.
2. Identify the known values: The work done per electron is $2.4\times 10-19$ J, and the charge of an electron is $1.6\times 10-19$ C.
3. Rearrange the formula to solve for emf (V): $V=W/q$. This equation shows that the emf is the work done per electron divided by the charge of the electron.
4. Substitute the known values into the formula: $V=\; (2.4\times 10-19)/(1.6\times 10-19)$. Perform the division to find the emf.
5. Interpret the result: The calculated emf represents the energy provided by the solar cell per unit charge (per electron). This value is typically expressed in volts (V).

Key Concepts

Electromotive Force (emf)

Electromotive force (emf) is the energy provided by a source of electrical energy per unit charge. It is measured in volts and represents the potential difference that drives the flow of electrons in a circuit. In the context of a solar cell, the emf indicates how much energy is available to move electrons from the positive to the negative terminal.

Work Done on Electrons

The work done on electrons refers to the energy transferred to each electron as it moves through an electric field. In this case, the solar cell does 2.4×10^−19 joules of work per electron, which is the energy gained by each electron as it is excited by sunlight. This work is directly related to the emf of the solar cell, as it quantifies the energy available for electrical work.

Charge of an Electron

The charge of an electron is a fundamental physical constant, approximately equal to -1.6×10^−19 coulombs. This value is crucial for calculating the emf of the solar cell, as it relates the work done on each electron to the potential difference. By knowing the work done per electron and the charge, one can determine the emf using the formula: emf = work done per charge.