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Chapter 6: Problem 8

Four cells of e.m.f \(2.5 \mathrm{~V}\) each are connected in series to form a battery, the e.m.f of the battery is ____.

Short Answer

Expert verified
Answer: The total e.m.f of the battery is 10V.

Step by step solution

01

Finding the total e.m.f in series connection

When cells are connected in series, we simply add up their individual e.m.fs to find the total e.m.f. In this case, there are four cells, each with an e.m.f. of 2.5V.
02

Calculate the total e.m.f of the battery

To find the total e.m.f, we add the e.m.fs of all four cells together: Total e.m.f \(= 2.5\mathrm{~V} + 2.5\mathrm{~V} + 2.5\mathrm{~V} + 2.5\mathrm{~V} = 4 \times 2.5\mathrm{~V} \)
03

Determine the e.m.f of the battery

Now, we multiply the e.m.f of one cell by the number of cells to find the e.m.f of the battery: Total e.m.f \(= 4 \times 2.5\mathrm{~V} = 10\mathrm{~V}\) The e.m.f of the battery is 10V.

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