What's
the Count?
Problem 6Johnny
built a 12 V solenoid low-side driver using a low-threshold MOSFET
driven by an output pin on a microprocessor. Later, testing determined
that the driver was generating unacceptable noise levels. Johnny decided
to increase the switching time of the MOSFET to roughly 0.5 V/ýS by
adding a resistor in series with the MOSFET gate.
Typical MOSFET specs are Ciss = 1500
pf, Crss = 90 pf, Rdson <= 0.1 ohm, Gate Threshold Voltage (Vgsth)
= 1.9 V.
The microcontrollerýs output pin high
voltage (Voh) is 4.5 V
How did Johnny compute the gate resistor
value?
The only MOSFET parameters that affect
turn-on time are the reverse-transfer capacitance (Crss) and Gate
Threshold Voltage (Vgsth), since Miller effect will hold the gate
voltage constant while the device is switching. Gate current Ig =
Crss ý dVds/dt, where dVds/dt is the rate of change on the drain of
the MOSFET, specified at 0.5V/ýs.
Gate resistor Rg = (Voh-Vgsth) / Ig =
(Voh-Vgsth) / (Crss × dVds/dt) =
(4.5 V ý 1.9 V) / (90×10ý12
ý 0.5×106) = 58k ohm
Keep in mind that Crss can vary considerably
between devices, and lead capacitance or external capacitance between
the drain and gate would have to be paralleled with Crss in this computation
for a more exact value of Rg. An external capacitance between the
drain and gate could be used to swamp Crss for a more precise turn-on
time.
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