100 j of heat is produced each second in a 4 ohm resistance. find tge potential difference across the resistor

Question

Answer

H=V square × t /rheat=100jtime=1secresistance=4so,as we put these values in the eq. we will get 100 × 4 / 1= v(potential difference )square 400=v squarev=20 ans

Answer

By joules law of heating effect

H = I^2 . R . T

100= I^2 . 4 . 1

25 = I^2

I = 5

Now by ohms law

V = IR

V = 5 . 4

V = 20 volt

Answer

V=20volt

Answer

9.75 J

Answer

29

Answer

20V

Answer

20v

Answer

Calculation of Potential Difference across the Resistor

To calculate the potential difference across the resistor, we need to consider the power dissipated in the resistor and the resistance value. The power dissipated in a resistor can be calculated using the formula:

Power (P) = (Current (I))^2 * Resistance (R)

Given that the power is 100 J (Joules) per second, and the resistance is 4 ohms, we can rearrange the formula to solve for the current:

Current (I) = sqrt(Power (P) / Resistance (R))

Substituting the given values into the formula:

Current (I) = sqrt(100 J / 4 Ω) = sqrt(25 A^2)

Hence, the current flowing through the resistor is 5 A (Amperes).

Now, we can use Ohm's law to calculate the potential difference across the resistor. Ohm's law states that the potential difference (V) across a resistor is equal to the current (I) multiplied by the resistance (R):

Potential Difference (V) = Current (I) * Resistance (R)

Substituting the current and resistance values into the formula:

Potential Difference (V) = 5 A * 4 Ω = 20 V

Thus, the potential difference across the resistor is 20 volts.

Explanation:

- The power dissipated in the resistor is given as 100 J per second, which represents the rate at which heat is produced in the resistor.
- We can calculate the current flowing through the resistor using the formula I = sqrt(P/R), where P is the power and R is the resistance.
- Substituting the given values, we find that the current through the resistor is 5 A.
- Finally, applying Ohm's law, we multiply the current by the resistance to find the potential difference across the resistor, which is 20 V.
- It's important to note that the potential difference across a resistor is directly proportional to the current and resistance. As the current increases, the potential difference also increases, while increasing the resistance leads to a decrease in potential difference.
- In this case, the power dissipation in the resistor results in the generation of heat, which is a common occurrence in resistive elements.

Answer

20volt

Answer

H=IsquareRT    answer 20

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