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5. Suppose we have an nMOSCAP made of Si. Suppose the channel doping is too strong at 10¹⁹ cm¹³. Allplots should assume the metal is on the left side. For this problem, we apply various voltage biases. (a) Draw the energy band diagram assuming VGS = 0 V. Label the following: E₁, Ec, Ev, qVGs. Keepthe depletion region widths from (1c). What mode is the MOSCAP in? (b) Draw the energy band diagram assuming VGS = Vth. Label the following: EF, Ec, Ev, qVGs. Changethe depletion region widths from (2a). What mode is the MOSCAP in? (c) Draw the energy band diagram such that there is no bending in the channel. Label the following: EF, Ec, Ev, qVGs. Is the necessary VGS positive, negative, or zero?

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