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Resistors dissipate energy in electric circuits, but their behavior is found time and again in diverse phenomena from the flux of biomass in bacterial cells to the flow of cars on city traffic grids.

The above graph shows the current through a nichrome wire according to the voltage applied. If \(i=\si{200\ \milli\ampere}\) and \(v=\si{125\ \volt}\),) what is the resistance (in \(\Omega\)) of the nichrome wire?

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In the circuit above, \(V=5\text{ V},\) \(R_1=1\ \Omega,\) \(R_2=6\ \Omega,\) and \(R_3=12\ \Omega.\) Find the current through \(R_1.\)

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If \(I=1\text{ A}\) and \(R=8\ \Omega,\) what is the voltage of the battery?

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