Inductance

This problem involves the behavior of a real inductor in a DC circuit. A real inductor can be modeled as an ideal inductor with inductance in series with its internal resistance . When a switch is closed in an circuit connected to a battery of EMF , Kirchhoff's Voltage Law (KVL) governs the instantaneous current and voltages.

According to KVL, the sum of the potential drops across the resistance and the inductor must equal the battery's EMF:
$ V_L V_L = L \frac{di}{dt} E = 1.0 \text{ V} R = 100 \text{ } \Omega i_1 = 2 \text{ mA} = 2 \times 10^{-3} \text{ A} i_2 = 4 \text{ mA} = 4 \times 10^{-3} \text{ A} 4/3$.

Step 1: Condition of floating body.
For a floating body, weight of the object is equal to the buoyant force:

Step 2: Expressing weight and buoyant force.

where is total height and is submerged height.
Step 3: Substituting given values.

Step 4: Solving for submerged height.