Using the formulas for series and parallel circuits, fill in...

Using the formulas for series and parallel circuits, fill in the blanks in the tables shown opposite each circuit. In the blanks across from Battery under $V$ : Write the emf of the battery. $I$ : Write the total current in the circuit. $R$ : Write the equivalent or total resistance of the entire circuit. In the blanks across from $R_{1}$ under $V$ : Write the voltage drop across $R_{1}$. $I:$ Write the current flowing through $R_{1}$. $R$ : Write the resistance of $R_{1}$. In the blanks across from $R_{2}, R_{3}, \ldots$, fill in the appropriate numbers under $V, I$, and R. (Begin by looking for key information given in the table and work from there.)

Using the formulas for series and parallel circuits, fill in the blanks in the tables shown opposite each circuit. In the blanks across from Battery under
$V$ : Write the emf of the battery.
$I$ : Write the total current in the circuit.
$R$ : Write the equivalent or total resistance of the entire circuit. In the blanks across from $R_{1}$ under
$V$ : Write the voltage drop across $R_{1}$.
$I:$ Write the current flowing through $R_{1}$.
$R$ : Write the resistance of $R_{1}$.
In the blanks across from $R_{2}, R_{3}, \ldots$, fill in the appropriate numbers under $V, I$, and
R. (Begin by looking for key information given in the table and work from there.)

Key Concepts

Battery and Electromotive Force

The battery in any circuit provides the electromotive force (emf), which is the driving voltage that pushes charges through the circuit. This source voltage is essential because it determines how much energy per unit charge is available to overcome resistive elements in the circuit.

Ohm's Law

Ohm's Law is a foundational principle in electrical circuits that establishes the relationship between voltage (V), current (I), and resistance (R) with the equation V = IR. This law is used to calculate any one of these three quantities when the other two are known, making it crucial for proper circuit analysis.

Series Circuits

In series circuits, all components are connected end-to-end so that the same current flows sequentially through each component. The equivalent or total resistance of such a circuit is the sum of the individual resistances, and the voltage from the power source divides among the components in proportion to their resistances.

Parallel Circuits

In parallel circuits, every component is connected across the same two nodes, ensuring that the voltage across each component is equal to the source voltage. The current supplied by the source splits among the various branches, and the overall or equivalent resistance is determined by taking the reciprocal of the sum of the reciprocals of the individual resistances.

Equivalent Resistance

Equivalent resistance is the single resistance that can replace a combination of resistors in a circuit without changing the overall current or voltage. Its calculation differs based on whether the resistors are arranged in series (simple addition) or in parallel (reciprocal of the sum of reciprocals), providing a simplified approach for analyzing complex circuits.

Voltage Drop

Voltage drop refers to the reduction in voltage as current flows through circuit elements such as resistors. In a series circuit, the voltage drop across an individual resistor is calculated by multiplying the current by the resistance (using Ohm's Law), reflecting the portion of the total voltage used up by that resistor in the circuit.

Transcript

00:01 Hello and welcome to this video solution of new method.

00:04 So here we are given six resistors that are connected in this circuit.

00:07 So let me just draw a simplified diagram of the circuit.

00:11 Right.

00:12 So here we have got the resistor r1 and r2 and this is connecting the radius r3 sorry the resistance r3 not radius and here we have got this is connected to a secondary circuit r4 and r5 and this is connected to the last resistor r6 right and this entire circuit is connected to this battery right.

00:52 Now here what you need to do is you need to have the potential v, i and r right.

01:01 This is battery this is r1, r2, r3, r4, r5 and r6.

01:15 So this is a table that's given right.

01:17 Now the battery potential is given to be 30 volts right.

01:22 The voltage across the resistance r1 is 6 volts right and the current is 3 ampere right and the overall current is not given.

01:32 Similarly current in this r2 is given as 2 ampere, r4 is 1 ampere, r5 is having a potential of 8 volts across it right and rest you have to calculate and r3 is having the resistance of 3 ohm and based on this you have to fill the table.

01:54 So we can simply have the resistance of r1 which is equal to v by i right.

02:01 We apply v equal to ir formula right.

02:04 So r will be equal to v by i.

02:06 This is 2 ohm right as our resistance r.

02:10 Now if you see r1 and r2 are in parallel right so the potentials will be same.

02:15 So this is also 6 volts.

02:17 Then here the resistance will be 3 ohm right 6 over 2 3 ohm...

Please give Ace some feedback