IPhO 2013, Експеримент — Задача 2.3. Theoretical characteristic for the solar cell

Solar cells — E2 · 7 юли 2013 г.

Warnings and notices

WARNING: Do not use the multimeter as an ohmmeter on the solar cells since the measuring current can damage them. When changing the measuring range on the multimeters, please turn the dial with caution. It can be unstable and may break. Check whether there is a number under the decimal point when measuring – if the dial is not fully in place, the multimeter will not measure, even if there are digits in the display.

Notice: Do not change the voltage on the power supply. It must be 12 V throughout the experiment. (The power supply for the light source should be connected to the outlet (230 V ~) at your table.)

Notice: Uncertainty considerations are only expected when explicitly mentioned.

Notice: All measured and calculated values must be given in SI units.

Notice: For all measurements of currents and voltages in this experiment, the LED-light source is supposed to be on.

Условие

For the solar cells in this experiment, the current as function of the voltage is given by the equation

I=Imax⁡−I0(exp⁡(eUηkBT)−1)I = I_{\max} - I_0\left(\exp\left(\frac{eU}{\eta k_{\mathrm{B}}T}\right) - 1\right)

where the parameters Imax⁡I_{\max}, I0I_0 and η\eta are constant at a given illumination. We take the temperature to be T=300 KT = 300\ \mathrm{K}. The fundamental constants ee and kBk_{\mathrm{B}} are the elementary charge and Boltzmann’s constant, respectively.

2.3a Use the graph from question 2.2b to determine Imax⁡I_{\max} . [0,4 т.]

The parameter η\eta can be assumed to lie in the interval from 1 to 4. For some values of the potential difference UU, the formula can be approximated by

I≈Imax⁡−I0exp⁡(eUηkBT)I \approx I_{\max} - I_0\exp\left(\frac{eU}{\eta k_{\mathrm{B}}T}\right)

2.3b Estimate the range of values of UU for which the mentioned approximation is good. Determine graphically the values of I0I_0 and η\eta for your solar cell. [1,2 т.]

Отговори

Решение


Оригинал в Архива: exp2.pdf · официални решения: exp2_sol.pdf