A themal micro-sensor made of polysilicon is illustrated in Figure below. It consists of a circular plate suspended by four beams. The beams have a length of L= 120 um, and a cross-section of w= 8 um by t = 4 um. An electric-heater element and two metal leads is deposited using a layer of Aluminum as shown in the Figure. Assume that the aluminum leads have a cross-section of wm = 6um and tm = 1 um. Let the electric resistance of the central heater be 1500 ohms. (a) If a voltage of 5 VDC is applied between point a and b, what is the temperature difference between the circular plate and the surrounding substrate? Assume that the surrounding substrate is at room temperature. Ignore the effects of convection and radiation. (b) (b) As part of your answer, draw the equivalent thermal eircuit' to model the heat flow in this system. Beam Cro-Section:

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13.
A thermal micro-sensor made of polysilicon is illustrated in Figure below. It
consists of a circular plate suspended by four beams. The beams have a length of L= 120
um, and a cross-section of w= 8 um by t = 4 um. An electric-heater element and two
metal leads is deposited using a layer of Aluminum as shown in the Figure. Assume that
the aluminum leads have a cross-section of wm = 6um and tm = 1 um. Let the electric
resistance of the central heater be 1500 ohms.
(a) If a voltage of 5 VDC is applied between point a and b, what is the temperature
difference between the circular plate and the surrounding substrate? Assume that the
surrounding substrate is at room temperature. Ignore the effects of convection and
radiation.
(b) (b) As part of your answer, draw the equivalent 'thermal circuit' to model the heat
flow in this system.
Beam Cross-Section:
Transcribed Image Text:13. A thermal micro-sensor made of polysilicon is illustrated in Figure below. It consists of a circular plate suspended by four beams. The beams have a length of L= 120 um, and a cross-section of w= 8 um by t = 4 um. An electric-heater element and two metal leads is deposited using a layer of Aluminum as shown in the Figure. Assume that the aluminum leads have a cross-section of wm = 6um and tm = 1 um. Let the electric resistance of the central heater be 1500 ohms. (a) If a voltage of 5 VDC is applied between point a and b, what is the temperature difference between the circular plate and the surrounding substrate? Assume that the surrounding substrate is at room temperature. Ignore the effects of convection and radiation. (b) (b) As part of your answer, draw the equivalent 'thermal circuit' to model the heat flow in this system. Beam Cross-Section:
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