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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » AC Circuit Containing Resistance Only

AC Circuit Containing Resistance Only

The AC circuit containing resistance only consists of only the resistor in the AC circuit, which prevents the flow of the electric current along the circuit.

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AC stands for alternating current and is an electric current that reverses its direction periodically and changes its magnitude with time. As it changes direction, electrical energy is used in typical home applications and electric sockets. The AC circuit is an electrical circuit that allows the flow of the electrons from the source to the load and back, and in this form of circuit, it facilitates the flow of alternating current. The AC circuit containing resistance only consists of pure resistance, which resists the current flow in the circuit. The topic of AC circuits containing resistance only is discussed in detail.

Use of Resistance in the DC circuit:

The resistor is used in the DC circuit to prevent or resist the flow of electric current. The value of inductance and capacitance is negligible for the AC circuit containing resistance only. When the resistor is present, electrical energy is converted into heat, and hence, there is resistance to the flow of electricity. 

Here are some components are known for the AC circuit:

  • Resistance is the measure that resists the passage of electrical current, and its value is measured in ohms and represented by R.
  • Capacitance is the ability of the capacitor to store energy, an electrical component used in the electric circuit.
  • The inductor is a passive component used in electronic circuits for storing energy in the form of magnetic energy on the application of the electric field.

Use of fully resistant AC circuit:

The resistor is a type of passive component used in the electric circuit, and it helps in regulating and impeding the flow of current. In the AC circuit containing resistance only, it consists of resistance. In the purely resistive circuit, the power is dissipated by the resistors, whereas the voltage and current remain the same, which means it reaches maximum value simultaneously. The sinusoidal voltage is applied to a resistance in the purely resistive circuit. To find resistance in the AC circuit, the value of the voltage and current are calculated either in root-mean-square (RMS) values or peak values. In a pure AC circuit, there is no effect of inductance and capacitance in the circuit.

Finding an AC circuit containing resistance only:

A circuit consists of AC sinusoidal voltage source and resistance denoted by K. When the voltage and current flowing through it are in phase, K resists the electric flow through the circuit.

Here is the method of finding the resistance based on the equation:

The following is the equation for the voltage applied to the resistance of a pure resistance circuit:

v = Vmsin ωt

On application of the voltage, it will lead to the flow of the alternating current in the circuit represented by i. 

Hence, the total voltage applied across the resistance is shown by:

v = iR

i = v/R = Vmsin ωt/R = Imsin ωt

Im = Vm /R, which represents the maximum value of the circuit

V-I Phase relationship in Resistance AC Circuit:

The resistance value of the resistor in the AC Circuit is the same despite the AC supply voltage frequency. The change in direction does not impact the behaviour. The VI-phase of the AC circuit containing resistance only works in a pattern. As the voltage and current in the AC circuit reach their maximum, it falls to zero and reaches the minimum simultaneously. Hence, in a pure AC resistant circuit, as there is simultaneous rise and fall of the voltage and current, it is known to be in-phase. As in the case of the AC circuit containing resistance only, the phase difference is zero with negligible inductance and capacitance effects.  

AC circuit containing resistance importance:

The resistance in the AC circuit plays a vital role as it resists the flow of the electric current. One of the significant AC circuits containing resistance importance is the circuit consisting of resistors, which means the current and voltage are in phase. The AC circuit containing resistance only prevents current flow or limits it because of its ability to convert the electric current into heat energy. In the AC circuit with a resistor, it does not consist of the inductor and capacitance, and hence it is known to resist the current flow. The resistor creates a resistance in the circuit and stops the current flow.

Conclusion:

AC circuit is an electric circuit that flows the alternating current. The AC circuit containing resistance only consists of only the resistor in the AC circuit, which prevents the flow of the electric current along the circuit. According to Ohm’s law, as the resistor is the only component present, it decreases current by reducing the voltage. The topic helps understand that as voltage and current remain the same in the pure resistance AC circuit, it reaches a maximum value simultaneously. Hence, it is found that as the current flows through the pure resistor, it is in phase with the voltage across the resistor and hence stops the movement of the electric current. The AC circuit containing resistance notes summarises all necessary information for understanding how the pure resistance AC circuit works.

faq

Frequently Asked Questions

Get answers to the most common queries related to the JEE Examination Preparation.

What is the difference between resistance, capacitance, and inductance?

Ans. The resistance, capacitance, and inductance are all essential components....Read full

What is the alternating current?

Ans. The alternating current (AC) is an electrical current with reverse or rep...Read full

What is the difference between alternating and direct current?

Ans : Alternating current is the flow of electric charge that changes periodically and changes the voltage level. It...Read full

What is the AC circuit containing resistance importance?

Ans. One of the primary uses and importance of the AC circuit is that it consi...Read full

Ans. The resistance, capacitance, and inductance are all essential components. The resistance in the AC circuit containing resistance only helps measure the resistance of the electric current. Such an AC circuit prevents current flow as it is only present without capacitance and inductance. The capacitance measures the capacity to store energy in the capacitor attached to the electric circuit. The inductor is a component used in the electric circuit for storing energy in the form of magnetic energy while applying an electric field.

Ans. The alternating current (AC) is an electrical current with reverse or repeated changes in magnitude continuously with time, compared to the direct current. Alternating current has to change polarity, and it is mainly used in regular appliances.

Ans : Alternating current is the flow of electric charge that changes periodically and changes the voltage level. It helps with the transfer and generation of electric current over long distances, and hence it also generates less heat. The direct current is the flow of electric current in one direction and provides voltage constantly, and is primarily used in electronics that require a wall plugin.

 

Ans. One of the primary uses and importance of the AC circuit is that it consists of resistors, and hence it helps prevent the flow of electric current. It is used in appliances where limited or lower current flow is necessary to stabilise the voltage. 

 

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