Find Amp of Circuit with Ohm's Law

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SUMMARY

This discussion focuses on calculating the current (amps) in a circuit using Ohm's Law. The formula used is Current (I) = Voltage (E) / Resistance (R). The resistivity of copper is given as 1.68 x 10^-8 ohm-meters, and a voltage of 9 volts is applied. It is emphasized that the internal resistance of the voltage source must be included in calculations, and the conversion from resistivity to resistance requires knowledge of the sample's length and cross-sectional area.

PREREQUISITES
  • Understanding of Ohm's Law
  • Knowledge of resistivity and its units (ohm-meters)
  • Ability to calculate resistance from resistivity, length, and cross-sectional area
  • Familiarity with electrical units: Amperes, Volts, and Ohms
NEXT STEPS
  • Learn how to convert resistivity to resistance using the formula R = ρ(L/A)
  • Research the impact of internal resistance in voltage sources on circuit calculations
  • Explore practical applications of Ohm's Law in circuit design
  • Study the limitations of theoretical calculations in real-world electrical systems
USEFUL FOR

Electrical engineers, physics students, and anyone involved in circuit design or analysis will benefit from this discussion.

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Hi,
I'm trying to find the amp of a circuit. Okay I know a circuit has a resistivity, So for example if my circuit is made out of cooper which has a resistivity of 1.68 * 10 negative power of 8 and a voltage of 9 volts.So do I just use ohms law Volt / Resistant = Amp?
 
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Yes, use Ohm's Law. Current equals Voltage divided by resistance. For a great explanation and built-in calculator, see:

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ohmlaw.html

By the way, it's important to get your terminology and units correct

Current (I): units of Amperes
Voltage (E): units of Volts
Resistance (R): units of Ohms
 
Pin Head said:
Hi,
I'm trying to find the amp of a circuit. Okay I know a circuit has a resistivity, So for example if my circuit is made out of cooper which has a resistivity of 1.68 * 10 negative power of 8 and a voltage of 9 volts.So do I just use ohms law Volt / Resistant = Amp?

Be sure to carry units along in your calculations -- it's important to have the units of the resistivity in order to get the correct answer for the resistance.

In this case, you would need to be sure to include the source resistance of your "9V" source. When you put a heavy load on a voltage source, its internal resistance needs to be part of your calculation (using Ohm's Law, yes).
 
Pin Head said:
Hi,
I'm trying to find the amp of a circuit. Okay I know a circuit has a resistivity, So for example if my circuit is made out of cooper which has a resistivity of 1.68 * 10 negative power of 8 and a voltage of 9 volts.So do I just use ohms law Volt / Resistant = Amp?

But first you will need to convert from resistivity to resistance.

For this, you need the formula:
140b5b8782cd1e72fa3785af25e1b394.png


Where
R = resistance of the metal sample.
ρ is the resistivity (in ohm -meters).
L is the length of the sample in the direction of current flow (in meters).
A is the cross sectional area of the sample (in square meters).
 
Last edited:


Hi there,

Yes, you are correct. Ohm's Law states that the current (in amps) flowing through a circuit is equal to the voltage (in volts) divided by the resistance (in ohms). So in your example, the current would be 9 volts divided by 1.68 * 10^-8 ohms, which equals 5.36 * 10^8 amps. Keep in mind that this is a very large amount of current and may not be realistic for a typical circuit. It's important to also consider other factors, such as the size and capacity of the circuit components, to ensure safe and efficient operation. Hope this helps!
 

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