In: Physics

# Michael Faraday unsuccessfully attempted to measure the potential difference across the River Thames due to the...

Michael Faraday unsuccessfully attempted to measure the potential difference across the River Thames due to the flow of water (which is a good conductor due to dissolved salts) in the earth's field. At Waterloo Bridge, where Faraday made his attempt, the river is 200 m wide and flows eastward at 2.4m/s . The earth's magnetic field here has a magnitude of 50 ?T and is tipped 65?from the horizontal, so it has both horizontal (north) and vertical (down) components.

Part B

What is the magnitude of the potential difference?

## Solutions

##### Expert Solution

The magnitude of the potential difference is,

$$\varepsilon=B l v \sin \theta=\left(5 \times 10^{-5} \mathrm{~T}\right)(200 \mathrm{~m})(2.4 \mathrm{~m} / \mathrm{s}) \sin 65^{\circ}=2.2 \times 10^{-2} \mathrm{~V}$$

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