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A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 μF capacitor. The rate of change of potential difference across the plates of the capacitor is nearly α × 10⁶ V/s. The value of α is ________.

Asked in JEE Main 5th April 1st Shift 2026 · Displacement current equals conduction current

• (1) 0.58
• (2) 0.67
• (3) 0.82
• (4) 0.75

Step-by-step solution

Why the other options are wrong

• (1) 0.58 = 3.5/6 — the current read as 3.5 A 4.0/(6 × 10⁻⁶) = 0.67 × 10⁶ V/s
• (3) 0.82 = 4.0/4.9 — the capacitance read as 4.9 μF; with the given 6 μF it is 0.67
• (4) 0.75 = 4.5/6 — the current read as 4.5 A; the stem gives 4.0 A, so 0.67

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