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A cell of e.m.f. 1.5v is connected in series with a resistor of 3\(\Omega\). A...

Physics
WAEC 1998

A cell of e.m.f. 1.5v is connected in series with a resistor of 3\(\Omega\). A high resistance voltmeter connected across the cell registers only 0.9v. Calculate the internal resistance of the cell

  • A. 5.0\(\Omega\)
  • B. 4.5\(\Omega\)
  • C. 2.4\(\Omega\)
  • D. 2.0\(\Omega\)
  • E. 1.8\(\Omega\)
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Correct Answer: Option D
Explanation

E.M.F (E) = 1.5v, Internal Resistance (r) = ?, Potential Difference (V) =  0.9v, Load resistance (R) = 3Ω,

Current (I) = V / R = 0.9 / 3 = 0.3A

USING : E = I ( R + r )

r = (E / I) - R = (1.5 / 0.3) - 3

r = 5 - 3 

r = 2Ω,

 

 


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