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Resistance box will provide resistance of discrete values such as 1, 2, 3 ohms or 0.1,0.2, 0.3 ohms. So interim values are not possible.

But rheostat gives a chance to vary the resistance continuously. It may be 5 ohm or even 5.769 ohm.

So just to fix current for a specified value such 1.5 ampere resistance box will not be suitable where as a rheostat is the most suitable.

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Q: What is the difference between resistance box and rheostat?
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