If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constant k placed between the capacitor plates, then bound charge qb can be expressed as:
If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constant k placed between the capacitor plates, then bound charge qb can be expressed as:
Option 1 - <p>qb = qf(1 + 1/√k)<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 2 - <p>qb = qf(1 - 1/√k)<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 3 - <p>qb = qf(1 - 1/k)</p>
Option 4 - <p>qb = qf(1 + 1/k)</p>
23 Views|Posted 6 months ago
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6 months ago
Correct Option - 3
Detailed Solution:
Enet = Eo/k
Enet = E_free - E_bound = qf/Aε? - qb/Aε?
Eo = qf/Aε?
So, (qf-qb)/Aε? = qf/ (kAε? )
qf - qb = qf/k
qb = qf (1 - 1/k)
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Physics Electrostatic Potential and Capacitance 2025
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