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10. a series circuit that has an open component a allows no current b a…

Question

  1. a series circuit that has an open component

a allows no current

b allows current to reach maximum

c measures 0 volts across the open component

d measures the applied voltage across the good component

Explanation:

Brief Explanations

In a series circuit, the components are connected end - to - end, forming a single path for current. If one component is open (has infinite resistance), the circuit is broken. According to Ohm's law \(I=\frac{V}{R}\), when \(R=\infty\) (open component), the current \(I = 0\).

  • Option a: Since the circuit is broken (open component), there is no complete path for electrons to flow, so no current (\(I = 0\)) flows through the circuit.
  • Option b: For current to reach maximum, the total resistance in the circuit should be minimum. But an open component makes the resistance infinite, so current cannot reach maximum.
  • Option c: Using the formula \(V = IR\), when \(I = 0\), for the open component \(V=I\times R=0\times\infty\) (indeterminate form in a simple sense, but in reality, the voltage across an open component is the source voltage).
  • Option d: Since \(I = 0\), using \(V = IR\), the voltage across a good component (with finite \(R\)) is \(V=0\times R = 0\)

Answer:

A. allows no current