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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.

Ohm's law


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?

It is known that the amount of current needed to flow through a human being in order to cause them to have ventricular fibrillation (heart attack) is about 100 mA.

What is the minimum voltage (in volts) that will cause a person who has a body resistance of \(1723\ \Omega\) to have ventricular fibrillation?

If a current \(I=0.9\text{ A}\) flows through a resistor \(R=7\ \Omega\) of length \(\Delta d=5\ \) m, what is the electric field strength inside the resistor?

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 \(R_1.\)

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


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