jperdunighttourist jperdunighttourist
  • 17-03-2024
  • Physics
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If the current through the middle part of the loop is I1 = 4.75 amps, what is the current through the top loop, I2, in amps?

If the current through the middle part of the loop is I1 475 amps what is the current through the top loop I2 in amps class=

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MathPhys
MathPhys MathPhys
  • 18-03-2024

Answer:

3.5 A counterclockwise

Explanation:

According to Kirchhoff's voltage law, the sum of the voltage drops and voltage gains around a loop is 0.

-I₁R₁ − I₂R₂ + ε₁ − I₂r₁ = 0

I₂ (r₁ + R₂) = ε₁ − I₁R₁

I₂ (0.5 Ω + 2.5 Ω) = 18 V − (4.75 A) (6.0 Ω)

I₂ = -3.5 A

The current through the top loop is 3.5 A. (The negative sign means it is in the opposite direction of what is drawn.)

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