Physics, asked by Anonymous, 5 hours ago


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ꜱᴛᴀᴛᴇ ᴀɴᴅ ᴅᴇʀɪᴠᴇ ᴊᴏᴜʟᴇ’ꜱ ʟᴀᴡ. ᴀɴ ᴇʟᴇᴄᴛʀɪᴄ ɪʀᴏɴ ᴄᴏɴꜱᴜᴍᴇꜱ ᴇɴᴇʀɢʏ ᴀᴛ ʀᴀᴛᴇ ᴏꜰ 420ᴡ ᴡʜᴇɴ ʜᴇᴀᴛɪɴɢ ɪꜱ ᴀᴛ ᴍᴀxɪᴍᴜᴍ ʀᴀᴛᴇ ᴀɴᴅ 180 ᴡ ᴡʜᴇɴ ʜᴇᴀᴛɪɴɢ ɪꜱ ᴀᴛ ᴍɪɴɪᴍᴜᴍ. ᴛʜᴇ ᴠᴏʟᴛᴀɢᴇ ɪꜱ 220ᴠ .ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴄᴜʀʀᴇɴᴛ ᴀɴᴅ ʀᴇꜱɪꜱᴛᴀɴᴛ ɪɴ ᴇᴀᴄʜ ᴄᴀꜱᴇ?




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Answers

Answered by MysticSohamS
5

Answer:

hey here is your solution

pls mark it as brainliest

joules law of heating expression is in above pics

Explanation:

so \: here \: for \: an \: electric \: iron \\ power \: (P1) = 420.W \\ power \: (P2) = 180.W \\ common \: voltage \: (V) = 220.V \\  \\ so \: we \: know \: that \\ power = voltage \times current \:  \\ hence \: accordingly \\ P1 = V.I1 \\ 420 = 220.I1 \\  =  \frac{420}{220}  \\  \\  =  \frac{42}{22}  \\  \\  =  \frac{21}{11}  \\  \\ hence \: I1 =  \frac{21}{11} A

similarly \:  \\ P2 = V.I2 \\ 180 = 220.I2 \\  =  \frac{180}{220}  \\  \\  =  \frac{18}{22}  \\  \\  =  \frac{9}{11}  \\  \\ hence \: I2 =  \frac{9}{11} A

for \: finding \: resistance \: use \: ohms \: law \: ie \: V=IR \\

Attachments:
Answered by Aryan0123
15

Short Answer:

Joule's law of heating => H = I²Rt

When heating is maximum:

  • I = 1.909 A
  • R = 115.24 Ω

When heating is minimum:

  • I = 0.818 A
  • R = 268.94 Ω

Explanation:

State and derive Joule's law:

Joule's law of heating states that Heat generated is equal to the current multiplied by square of resistance and time.

Mathematically,

H = I²Rt

Derivation:

We know that:

W = V × Q ----- [Equation 1]

where:

  • W = Work done
  • V = Voltage
  • Q = Charge

Also,

Q = It ----- [Equation 2]

From Ohm's law,

V = I × R ------ [Equation 3]

Put the values of V and Q from Equation 2 and Equation 3 in Equation 1.

W = V × Q

→ W = I × R × I × t

→ W = I²Rt

Here, work done = Heat produced.

So H = I²Rt

Next part of the question:

An electric iron consumes energy at rate of 420 W when heating is at maximum and 180 W when heating is at minimum. The voltage is 220 V. What is the current and resistance in each case?

Solution:

When heating is maximum:

  • P = 420 W
  • V = 220 V

I = P ÷ V

→ I = 420 ÷ 220

『I = 1.909 A』

R = V ÷ I (Ohm's law)

→ R = 220 ÷ 1.909

『R = 115.24 Ω』

When heating is minimum:

  • P = 180 W
  • V = 220 V

I = P ÷ V

→ I = 180 ÷ 220

『I = 0.818 A』

Again by Ohm's law

R = V ÷ I

→ R = 220 ÷ 0.818

『R = 268.94 Ω』

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