how you will experimentally prove ohms law in answer in short
Answers
Ohm’s law states that,
Where V. I, and R represent the voltage in volt, current in ampere, and resistance in ohms, respectively, for a resistor or segment of DC circuit. R is the equivalent resistance if the segment consists of multiple resistors.
Experiment requirement:
Every group will be provided the same equipment as last week including the resistors drawers, a circuit board, cables, and two mulitmeters.
List 1
Components:
R1, R2, R3, R4, and R5
List 2
Circuit segments:
AB, AC, CB
Build a circuit according to the diagram in figure 1 using resistors with nominal values as R1=100Ω, R2=220Ω, R3=1kΩ, R4=2.2kΩ, and R5=1kΩ. A power supply should be connected to points A and B. Vary the voltage setting on power supply from 10 to 20V with at most 1V increment. Choose three different components/segments (at least one from each category in Lists 1 and 2). From these three components/segments, each group member pick one and measure the relevant variables to produce a V vs. I plot. The data and plot should show if the Ohm’s law is satisfied (or not).
Precaution: pick a dedicated mutlimeter as an ammeter and fix its scale to 200mA. This will avoid a multimeter from switching between ammeter and voltmeter, which can easily blow the fuse. Use the other multimeter when measuring resistance and voltage.
Lab report requirement:
State your procedure clearly. Describe data analysis including uncertainties. Include enough details in your data table(s) and plots. Cite your data and plots to support your conclusion.
Hint:
You can use measured R and I to calculate V, then compare it with measured V, or
You can fit V vs. I plot with linear function, then compare the slope (should be R) with the measured R.
These are two common approaches, but you are not limited to them. For whichever approach you pick, make sure you understand the uncertainties involved.
HW: i need help just writing the procedure .
1. Don't need intro. and theory since it's a simple equation. Don't need circuit diagrams since they are given.
2. Write up your procedure: pick three segments/components as required in lab instruction, describe your data collection/analysis/plot. How can you tell if the Ohm's law is satisfied or not?
3. Application of Ohm's law: calculate V and I for every resistor using resistor's nominal value and 10 V between points A and B in circuit.
Expert Answer
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OHM'S LAW : Ohm's law states that the current flowing through a conductor is directly proportional to the potential difference applied across its ends.
PROOF :
This is the way of proving Ohm's law without calculus ❗
According to Joule, the amount of heat (H) produced in a resistor (a kind of conductor) is directly proportional to the square of the current (I), resistance (R) of the resistor or conductor and time (t) for which the current flows through the resistor or conductor.
Symbloically, H ∝ I²
H ∝ R and H ∝ t
By the rule of Joint variation, combining these three laws we get, H ∝ I²Rt
or, H = 1/J × I²Rt [Where, 1/J is the proportionality constant that Joule got experimentally. It can also be called as a experimental constant. ]
In S.I. system, the value of J is 1, i.e., J = 1 and hence, H = I²Rt
Also, W = J H
As I told earlier, J = 1 in S.I. system, hence :
W = H
=> W = I²Rt .....(i)
From the equation of potential difference between two points in an electric field, we can say that : V = W/Q or, W = VQ ....(ii)
So, from (i) and (ii), we can write that :
VQ = I²Rt
=> V × I × t = I² × R × t
=> V = I × R = IR
This equation V = IR is known as Ohm's law.
Proof without using Calculus !!!