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homework_09_electric_current

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Kurt Robert Rudolph edited this page Jul 4, 2012 · 14 revisions

Homework: Electric Current

Circuit 1 with Resistor and a Battery

A circuit is constructed with five resistors and a battery as shown. The battery voltage is [V = 12.0 V]. The values for the resistors are: [R_1 = 75.0 \Omega], [R_2 = 118.0 \Omega], [R_3 = 147.0 \Omega] and [R_4 = 61.0 \Omega].

The value for [R_X] is unknown, but it is known that [I_4], the current that flows through resistor [R_4], is zero.

  • [V = 12.0 V]
  • [R_1 = 75.0 \Omega]
  • [R_2 = 118.0 \Omega]
  • [R_3 = 147.0 \Omega]
  • [R_4 = 61.0 \Omega].
  • [I_4 = 0]

1)

What is [I_1], the magnitude of the current that flows through the resistor [R_1]?

  • [I = I_1 + I_2]

    • [I_b = I_1 + I_2]
    • [V_b = V_1 = V_2]
    • [I_b = \frac{ V_b}{ R_1} + \frac{ V_b}{ R_2}]
    • []

  • [\frac{ v}{ R_1}]

    • It looks like you have calculated the current assuming that the voltage across [R_1] is the battery voltage, which it is not. The current does not return directly to the battery after leaving [R_1]. Where does it go before returning to the battery?
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