Question

Compare the heat generat while transferring 96000c of charges in 1houre through a potential difference 50V

Answer 1

Answer:

• Heat generated = 4.8 × 10⁶ Joules

Explanation:

Given

• Charge transferring, Q = 96000 C
• Potential difference, V = 50 V
• Time for which charge in transferred = 1 hour

To find

• Heat energy generated in transferring the given charge, E =?

Formula required

• Joules law of heating

       H = V I t

[ Where H is heat produced, I is current and t is time ]

• Relation between Current (I), charge (Q) and time (t)

      Q = I t

Solution:

Using expression for Joule's heating law

→ H = V I t

[ Since (Q = I t) therefore, ]

→ H = V Q

→ H = ( 50 ) × ( 96000 )

→ H = 480 × 10⁴

→ H = 4.8 × 10⁶ Joules

Therefore,

• Heat generated is equal to 4.8 × 10⁶ Joules.

Answer 2

Answer :-

☞ Heat generated during the transfer =

480 × 10⁴ Joules

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★ Concept :-

Here the concept of Joule's Law of Heating and Current - Charge Relationship has been used.

According to this :-

✳ Heat = Voltage × Current × Time

=> H = VIt

And,

✳ $\bold {Current, I}\: = \dfrac{\bold {Charge,Q}}{\bold {Time,t}}$

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★ Solution :-

Given,

• Total amount of charge, Q = 96000 C

• Time taken for this transfer, t = 1 hr = 60 × 60 sec = 3600 sec

• Potential Difference of transfer, P.D. = 50 V

We already discussed that,

▶ H = VIt

And,

▶ I = Q / t

Combining these both equations, we get,

✒ H = V × (Q/t) × t

✒ H = V × Q

By applying values, we get,

✒ H = 50 × 96000

✒ H = 4800000 Joules

Using, scientific calculation system, we get,

✒ H = 480 × 10⁴ Joules

» Hence, the heat produced = 480 × 10⁴ Joules

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★ More to know :-

• Heat is the work done on moving or changing the dimension of a substance. Its SI unit is Joules and is denoted by W or H.

• Current is the movement of particles from lower to higher potential in a conductor. Its SI unit is Ampere and is denoted by I.

• Potential Difference is the work done to move a unit + charge from infinity to another point. Its SI unit is Volt and is denoted by Voltage.

• Joule's Law is the law given by Henry Joule which shows the relationship between current, heat generated, time and potential difference.