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Question

1) For the combination of resistors shown, find the equivalent resistance between points A and B. Req= __ ohms see figure 3

2) For the set up shown, find the equivalent resistance between points A and B. (See figure 4) Req= ___ ohms

Answer “For the combination of resistors shown, find the equivalent resistance between points A and B.”

Concepts and reason

Resistor has two junctions that allow current to flow in and out. These devices are passive and draw power.

The resistors should be connected in series to increase their net resistance. Conversely, resistors that are lower in resistance must be connected parallel.

Use the expression below to calculate the effective resistivity of the combination resistances connected in series between points B and A.

Use the expression below to calculate the effective resistivity of the combination resistances connected in parallel between points B and A.

Fundamentals

The resistor prevents the current from passing through it easily.

Resistance is the ability of a resistor to resist current passing through it.

The end point of one resistor can be connected in a linear fashion to the end points of the adjacent resistor. The free end of one resistor or the free end the other resistor are connected to power supply. These resistors can then be connected in series, and the equivalent resistance between them increases.

The current can only flow in a series circuit.

The sum of each resistor’s resistance is the equivalent resistance.

The equivalent resistance of the resistors connected in series is:

R_eq = R₁ + R₂ +R₃

Here, R_eq is the equivalent resistances of the resistors connected in series R₁ ,R₂ ,R₃ are the resistors connected in series.

If the power supply ends at both the resistors’ end points, the resistors will be connected parallel to each other. The equivalent resistance between the ends of both resistors decreases.

Parallel circuit current can flow in more than one direction.

The sum of each resistor’s reciprocal resistance is equal to the equivalent of their reciprocal resistance.

For the equivalent resistance of the resistors connected in parallel, the expression is:

Here,

is the equivalent resistances of the resistors connected in parallel, are the resistors connected in parallel.

Answer:

1) The equivalent resistance of the resistors connected in series is:

Thus the equivalent resistance between points A and B is 9Ω .

Explanation:

The effective resistors that are connected in series add up algebraically, and the effective resistance rises.

If a potential source is connected to the terminals of a series of resistors then current flows through it very difficult. This is because of the rise in net resistance.

2) The expression for the equivalent resistance of the resistor connected in parallel is,

Thus the equivalent resistance between points A and B when the resistors are connected is parallel is 2Ω

Explanation:

The effective resistances of resistors connected in parallel decrease, and they are less than one resistor.

Last words

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