A 5 ohm resistor is connected across a battery of 6 volts. Calculate(i) The current flowing through the resistor.(ii) The energy that dissipates as heat in 10 s
A) (i) 1.2A (ii) 300J
B) (i) 1.5 A (ii) 500J
C) (i) 2.2A (ii) 300J
D) (i) 2.2A (ii) 500J
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A 5 ohm resistor is connected across a battery of 6 volts. Calculate(i) The current flowing through the resistor.(ii) The energy that dissipates as heat in 10 s
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D) (i) 2.2A (ii) 500J
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Given :
- A 5 ohm resistor is connected across a battery of 6 volts.
To Find :
- The current flowing through the resistor.
- The energy that dissipates as heat in 10 s.
Solution :
- Resisiatnce = 5 Ω
- Voltage = 6 V
- Time = 10 seconds
- Current = ?
- Heat = ?
★ Finding the current flowing through the resistor by given below formula :
- I = V/R
[Here, I = current , V = voltage and R = resistance ]
★ Now, subsitute the given values in above formula :
→ I = 6 ÷ 5
→ I = 1.2 A
- Hence,the current flowing through the resistor is 1.2 A.
★ Now, let's calculate the energy that dissipates as heat in 10 s by given below formula :
- H = I² × R × T
[Here,H = heat, I = current , T = time and R = resistance ]
Plug in the given values in above formula :
→ H = (1.2)² × 5 × 10
→ H = 1.44 × 5 × 10
→ H = 1.44 × 50
→ H = 72 J
- Hence,the energy that dissipates as heat in 10 s is 72 J.
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