At 100,000 Ω, how much current flows through your body if you touch the terminals of a 12 V battery? If your skin is wet, so that your resistance is only 1000 Ω, how much current would you receive from the same battery? Ans.(1.2 𝐱 10⁻⁴ A, 1.2 𝐱 10⁻² A)
Data Given:
Resistance 1 = R₁ = 100,000 Ω = 10⁵ Ω
Voltage = V = 12 V
Resistance 2 = R₂ = 1000 Ω = 10³ Ω
Resistance 1 = R₁ = 100,000 Ω = 10⁵ Ω
Voltage = V = 12 V
Resistance 2 = R₂ = 1000 Ω = 10³ Ω
To Find:
(1) Current received by the body through resistance R₁ = I₁ = ?
(2) Current received by the body through resistance R₂ = I₂ = ?
Solution:
According to Ohm's law
V = IR
or
I =`\frac{V}{R}` ----------(1)
(2) Current received by the body through resistance R₂ = I₂ = ?
for Resistance R₁ the equation (1) will become
I₁ = `\frac{V}{R₁}`
I₁ = `\frac{12 V}{10⁵ Ω}`
I₁ = 12 x10⁻⁵ A
or
I₁ = 1.2 x10⁻⁴ A
(2) Current received by the body through resistance R₂ = I₂ = ?
for Resistance R₂ the equation (1) will become
I₂ = `\frac{V}{R₂}`
I₂ = `\frac{12 V}{10³ Ω}`
I₂ = 12 x10⁻³ A
or
I₂ = 1.2 x10⁻² A
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