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Hi, I was wondering if someone could show me how to work this lab problem. Thank

ID: 1699315 • Letter: H

Question

Hi, I was wondering if someone could show me how to work this lab problem. Thank you.

A standard cell with emf of 1.018 volts when placed in a potentiometer circuit was found to have an arbitrary length Lstd of 41.3. An unknown cell is then placed in the circuit and a decade box set to 450 ohms is in parallel with the unknown cell. The circuit was adjusted to a null and the arbritrary length of the unknown cell with this load was found to be Lunk = 58.8. What is the terminal voltage VT?

The answer is 1.45 V, but I don't know how to solve for it.

Explanation / Answer

E1 = 1.018 V L1 = 41.3 cm E2 = ? L2 = 58.3 cm Resistance, R = 450 ohms EMF of the cell is proportional to the balancing length E2 / E1 = L2 / L1 E2 = E1 * ( L2 / L1 ) = 1.018 * ( 58.3 / 41.3 ) = 1.45 V

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