Solve Ohm's Law Problem: Homework Equations & Solutions

In summary, Ohm's Law is a fundamental law in electricity that relates voltage, current, and resistance. It can be used to solve problems by using the formula V=IR and knowing two out of the three variables. The units for voltage, current, and resistance are volts, amperes, and ohms, respectively. Ohm's Law can be applied to both AC and DC circuits. The formula can be rearranged to solve for a different variable, but it has limitations, such as assuming a linear conductor and not accounting for capacitance and inductance effects.
  • #1
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Homework Statement



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Homework Equations



R = (Rou*A)/L
V = R/i

The Attempt at a Solution


In this one I don't really understand how my answer to part a is wrong.
My Work: L = 5.9 cm = 5.9E-2 m
diameter = 8.4 mm = 8.4E-3 m ... radius = 4.2E-3 m ... A = pi*r^2 = pi(4.2E-3)^2 = 5.541769E-5 m^2
R = (Rou*A)/L = (1.69E-8 * 5.541769E-5)/(5.9E-2) = 1.5873882E-11 Ohms
V = R/i = (1.5873882E-11)/(33) = 4.81026727E-13 V = 4.81026727E-10 mV
 
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  • #2
Your resistance calculation is in error. Check your formula.
 

FAQ: Solve Ohm's Law Problem: Homework Equations & Solutions

What is Ohm's Law and how is it used to solve problems?

Ohm's Law is a fundamental law in electricity that states the relationship between voltage, current, and resistance. It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. To solve problems using Ohm's Law, you need to know two out of the three variables (voltage, current, and resistance) and use the formula V=IR to find the third.

What are the units for voltage, current, and resistance?

Voltage is measured in volts (V), current is measured in amperes (A), and resistance is measured in ohms (Ω).

3. Can Ohm's Law be used for both AC and DC circuits?

Yes, Ohm's Law can be used for both AC (alternating current) and DC (direct current) circuits, as long as the values of voltage, current, and resistance are known.

4. How do you rearrange the formula V=IR to solve for a different variable?

To solve for a different variable, you can rearrange the formula V=IR using algebra. For example, if you want to solve for current, you would divide both sides by resistance (I=V/R). If you want to solve for resistance, you would divide both sides by current (R=V/I).

5. Are there any limitations to using Ohm's Law to solve problems?

Ohm's Law is a useful tool for solving problems in electricity, but it has some limitations. It assumes that the conductor is a linear material, meaning that the resistance does not change with the applied voltage. In reality, the resistance of a material can change with temperature, pressure, and other factors. Additionally, Ohm's Law does not take into account the effects of capacitance and inductance in a circuit, which can also affect the current and voltage relationship.

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