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Does current increases with the increase in voltage ?

Yes, according to Ohm’s Law, current increases with an increase in voltage when the resistance in a circuit remains constant. Ohm’s Law describes the relationship between voltage (V), current (I), and resistance (R) in an electrical circuit. The formula for Ohm’s Law is given by:

�=�⋅�V=I⋅R

Where:

  • �V is the voltage across the circuit,
  • �I is the current flowing through the circuit, and
  • �R is the resistance of the circuit.

From Ohm’s Law, we can derive the formulas for current and resistance:

�=��I=RV​

�=��R=IV​

Let’s break down how current changes with variations in voltage and resistance:

1. Increase in Voltage with Constant Resistance:

  • If the resistance in a circuit remains constant, an increase in voltage will lead to a proportional increase in current.
  • For example, if the voltage doubles, the current will also double if the resistance remains unchanged.

2. Decrease in Voltage with Constant Resistance:

  • Conversely, if the voltage decreases, the current will decrease proportionally, given a constant resistance.

3. Relationship with Resistance:

  • The relationship between voltage, current, and resistance is linear when considering Ohm’s Law. This means that the ratio of voltage to current (V/I) remains constant for a given resistance.

4. Practical Example:

  • Consider a simple circuit with a resistor and a voltage source. If the voltage across the circuit is increased while the resistance remains constant, the current flowing through the circuit will increase.
  • This scenario is commonly observed in electronic devices when the input voltage is adjusted.

5. Limitations and Non-Ohmic Devices:

  • It’s essential to note that Ohm’s Law is applicable to linear, ohmic devices. Some devices, such as diodes and transistors, do not follow Ohm’s Law, and their behavior may not be proportional.

6. Power Consumption:

  • The power consumed by a device in a circuit is given by the formula �=�⋅�P=V⋅I. An increase in voltage will result in a proportional increase in power consumption, assuming resistance remains constant.

7. Practical Considerations:

  • In practical applications, the relationship between voltage and current is influenced by the specific characteristics of the circuit components. Real-world circuits may have nonlinear elements or components with varying resistance.

In summary, according to Ohm’s Law, an increase in voltage with constant resistance leads to a proportional increase in current, and vice versa. This relationship is fundamental to understanding and analyzing electrical circuits in a wide range of applications.

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