Experiment 10: Ohm's Law and Resistance — Worked Examples

A $12.0\,\text{V}$ source is connected across a $470\,\Omega$ resistor. Determine the current.

A resistor has a measured voltage of $6.40\,\text{V}$ and a measured current of $31.8\,\text{mA}$. Determine its experimental resistance.

A best-fit line on a graph of voltage $V$ on the vertical axis against current $I$ on the horizontal axis has slope $328\,\text{V/A}$. Determine the resistance.

An $I$-versus-$V$ graph has slope $0.00400\,\text{A/V}$. Determine the conductance and resistance.

A copper wire has length $L=8.00\,\text{m}$, cross-sectional area $A=0.500\,\text{mm}^2$, and resistivity $\rho=1.68\times10^{-8}\,\Omega\cdot\text{m}$. Determine its resistance.

A metal resistor has resistance $R_0=100.0\,\Omega$ at $20.0^\circ\text{C}$. Its temperature coefficient is $\alpha=0.00390\,\text{per }^\circ\text{C}$. Estimate its resistance at $80.0^\circ\text{C}$.

A $220\,\Omega$ resistor is rated at $0.250\,\text{W}$. Determine the maximum ideal voltage and current that correspond to this rating.

A $100\,\Omega$ resistor operates from a $10.0\,\text{V}$ source for $15.0\,\text{min}$. Determine the current, power, and energy converted to heat.

A resistor is marked $330\,\Omega\pm5\%$. A multimeter reads $343\,\Omega$. Determine the acceptable range and decide whether the measurement is within tolerance.

A device produces a curved $V$-versus-$I$ graph whose slope becomes steeper as current increases. What does the graph imply about its resistance?