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Study the diagram: Calculate the total resistance of the circuit. Calculate the current drawn from the cell. State whether the current through 10 Ω resistor is greater than,

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प्रश्न

Study the diagram:

  1. Calculate the total resistance of the circuit.
  2. Calculate the current drawn from the cell.
  3. State whether the current through 10 Ω resistor is greater than, less than or equal to the current through the 12 Ω resistor.
संख्यात्मक
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उत्तर

a. R1 = 10 + 6 = 16 Ω (in series)

R2 = 12 + 4 = 16 Ω (in series)

Req = `(R_1 xx R_2)/(R_1 + R_2)` (in parallel)

= `(16 xx 16)/(16 + 16)`

= `(16 xx 16)/32`

= 8 Ω

b. Current drawn `I = V/R`

= `4/8`

= `1/2`

= 0.5 A

c. Because the equivalent resistance in both arms is 16 Ω, the current in the 10 Ω resistor will be equal to the current in the 12 Ω resistor. Thus, equal current will flow through the 10 Ω and 12 Ω resistors as well as in both arms.

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