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Welcome, class! Today, we will start with the concept of electric current. Electric current (I) is defined as the rate of flow of electric charge through a conductor. Can anyone tell me the formula for current?
Is it I = Q/t, where Q is the charge and t is time?
Exactly! The SI unit for current is the Ampere (A). Also, it's important to note that conventional current flows from the positive to the negative terminal, which is opposite to the actual flow of electrons. Does anyone know why we use the conventional direction?
I think it's because early physicists defined it that way before the discovery of the electron!
Correct! You all are doing great. Let's remember this with the acronym 'ICu' β 'I' for Current and 'Cu' for 'Charge per unit time'.
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Now, letβs dive into Ohmβs Law, which states that the voltage across a conductor is directly proportional to the current flowing through it. The formula is V = I * R. Can anyone explain what each symbol represents?
V is voltage, I is current, and R is resistance!
Great! This law helps us understand how resistors work in circuits. For ohmic conductors, the V-I graph is a straight line. Why do you think that is?
Because the relationship is linear when temperature stays constant?
Exactly correct! Let's visualize this with the mnemonic 'VIR' β Voltage, Current, Resistance. You'll remember that these three are interconnected!
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Next up is the concept of resistance and resistivity. Resistivity (Ο) is a material's resistance for a unit length and area. The formula is R = Ο (l/A). Can anyone explain what each variable means?
R is resistance, Ο is resistivity, l is the length of the conductor, and A is its cross-sectional area.
Exactly! This means a longer, thinner wire has more resistance. Also, remember that resistivity depends on the material and temperature. Can anyone give me an example of how temperature affects resistance?
In conductors, like metals, resistance increases with temperature.
Spot on! Remember this with the phrase 'Hotter means Higher resistance'! Let's summarize: resistivity determines how well materials conduct electricity.
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Finally, letβs cover Kirchhoffβs Rules. We have Kirchhoffβs Current Law (KCL) and Kirchhoffβs Voltage Law (KVL). KCL states that the total current entering a junction equals the total current leaving it. Does anyone know why this is important?
Because it helps in analyzing complex circuits!
Correct! KVL states that the sum of the potential differences in a closed loop equals zero. Why is this useful?
It helps in simplifying circuit calculations.
"Exactly right! To help remember, think of the acronym 'KCL and KVL β Current and Voltage Sum Up!'"<img id="dimg_GEQ_aNv0KsXEp84P4_SIgQg_17" 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" 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To wrap up, letβs discuss some practical applications of what we've learned, such as the Wheatstone bridge. What is its purpose?
It's used to measure unknown resistances!
Exactly! And the potentiometer can measure EMF accurately. How does it compare to a regular voltmeter?
I think it doesn't draw any current from the source, so it's more accurate!
Thatβs a great observation! Letβs summarize our session: Current electricity plays a vital role in technology and understanding it is essential for future studies in physics.
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β’ Electric Current (I) is the rate of flow of electric charge through a conductor.
\[ I = \frac{Q}{t} \]
where \( I \) is the current, \( Q \) is the charge, and \( t \) is time.
β’ SI Unit: Ampere (A)
β’ Direction: Conventional current flows from positive to negative terminal (opposite to electron flow).
Electric current is a fundamental concept in electricity, representing the flow of electric charge. The formula \( I = \frac{Q}{t} \) expresses current (I) as the amount of charge (Q) passing through a point in a conductor per unit time (t). The standard unit of electric current is the Ampere (A). This reflects how much charge flows in a circuit - more charge flowing per second means a higher current. It's important to note that while current is defined to flow from positive to negative (the conventional direction), electrons actually move from negative to positive.
Think of electric current like water flowing through a pipe. Just as water flow can be measured in liters per second, electric current is measured in Amperes. If you have a larger pipe (more charge flow), more water (current) can pass through it in the same amount of time. Just like water flows from a higher pressure area to a lower pressure area, electric current flows from a positively charged area to a negatively charged area.
Learn essential terms and foundational ideas that form the basis of the topic.
Key Concepts
Electric Current: The flow of electrical charge, measured in Amperes.
Ohm's Law: Describes the relationship between voltage, current, and resistance in conductors.
Resistance: A measure of the opposition to current flow in a circuit.
Resistivity: Indicates how strongly a material opposes current flow.
Temperature Dependence: Resistance varies with temperature, increasing in conductors and decreasing in semiconductors.
See how the concepts apply in real-world scenarios to understand their practical implications.
A flashlight functioning due to the flow of current through its electrical circuit.
Using a potentiometer to accurately measure the voltage of different batteries.
Use mnemonics, acronyms, or visual cues to help remember key information more easily.
For every charge that flows, an Ampere shows.
Imagine a river (current) carrying leaves (charges), encountering rocks (resistance) that change its flow.
Use VIR: V = I * R when calculating voltage, current, and resistance!
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Review the Definitions for terms.
Term: Electric Current
Definition:
The rate of flow of electric charge through a conductor, measured in Amperes.
Term: Ohm's Law
Definition:
The principle that states the voltage across a conductor is directly proportional to the current flowing through it.
Term: Resistance
Definition:
The opposition to the flow of current, denoted by R.
Term: Resistivity
Definition:
A material's inherent resistance per unit length and area under defined conditions.
Term: Kirchhoff's Laws
Definition:
Rules for analyzing electrical circuits, including the current law and voltage law.