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Current Electricity — Physics STD 10 — Question

ICSE BoardEnglish MediumSTD 10PhysicsCurrent Electricity1 Mark
MCQ
Read the case and answer the following questions:
Case 1: 2 A current is flowing through a copper wire X of length 2 km and radius 2 cm.
Case 2: 4 A current is flowing through a copper wire Y of length 1 km and radius 2 cm.
Case 3: A copper wire Z carrying P amount of current by having potential difference of 16 V and resistance of 2 ohm.
Answer the following question?
(ii) Which wire is offering maximum resistance?
  • ✓
    Wire $X$
  • B
    Wire Z
  • C
    Wire Y
  • D
    Wire $X$ and Wire $Y$
✓

Answer

Correct option: A.
Wire $X$
(a) Wire $X$
Explanation：
We know,
$
R \propto \frac{1}{r^2}
$
where, r is constant. Amount of resistance offered by each wire can be determined by the value of $\left(\frac{l}{r^2}\right)$. If this value is more, resistance will be more. In this way, wire X will have more $\left(\frac{l}{r^2}\right)$ than wire Y and Z .

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