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Question

If two resistors are placed in series, is the final resistance:

The correct answer is

Higher

Resistors in Series: Understanding Final Resistance

When resistors are connected in series, they are linked end-to-end, forming a single path for the electric current to flow. This type of connection is common in many electronic circuits.

To determine the total or equivalent resistance of resistors connected in series, you simply add their individual resistances together. The formula for calculating the total resistance ($R_{total}$) for two resistors, $R_1$ and $R_2$, placed in series is as follows:

$R_{total} = R_1 + R_2$

Since resistance values are positive quantities, adding two or more resistances will always result in a value that is greater than the resistance of any single resistor in the combination. For instance, if you have a 10 Ohm resistor and a 20 Ohm resistor in series, the total resistance is $10 \text{ Ohms} + 20 \text{ Ohms} = 30 \text{ Ohms}$. This 30 Ohm value is higher than both the 10 Ohm and 20 Ohm resistors individually.

Therefore, when two resistors are placed in series, the final resistance is always higher than the resistance of either individual resistor.

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Important Questions from Resistors

  1. Given the relationship $R = \rho \frac{L}{A}$, where $R$ represents electrical resistance, $L$ is the length of the material, and $A$ is its uniform cross-sectional area, what is the standard International System of Units (SI) unit for specific resistance ($\rho$)?
    Assume $R$ is measured in Ohms ($\Omega$), $L$ in meters ($m$), and $A$ in square meters ($m^2$).
  2. A wire of resistance R is connected to an EMF source E. The charge flowing through the resistor is time dependent as Q = at - bt2. The heat dissipated in the wire is:

  3. What is varistor?

  4. A voltage of 100 V is applied to a circuit of resistance of 20 Ohms, the Power dissipated by the resistance will be

  5. The resistance value of a carbon resistor having red, violet, orange and gold colour band is

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