Question 7.4: For the astable multivibrator shown in Fig. 7.1: (a) Find th......

For the astable multivibrator shown in Fig. 7.1:
(a) Find the value of C to provide symmetrical oscillations if R = 10 kΩ and\ f = 10 kHz.
(b) Determine the values of capacitors to provide a train of pulses 0.1 ms wide and at a frequency of 1 kHz, if\ R_{1} =R_{2} = 1 kΩ
(c) Find the minimum value of\ R_{C} in a symmetric astable if R = 10 kΩ and\ h_{FE} = 50.

fig 7.1
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(a)   Given R = 10 kΩ and\ f = 10 kHz, for a symmetrical astable multivibrator.

\ f = \frac{0.7}{RC}       \ C = \frac{0.7}{Rf}  = \frac{0.7}{10 × 10^{3} × 10 × 10^{3}}  = 0.007 μF

(b)   Given\ T_{1} = duration of the pulse = 0.1 ms,\ f = 1 kHz, for the un-symmetric astable multivibrator:

\ T = \frac{1}{f} = 1 ms   \ T_{2} = T − T_{1} = 1 − 0.1 = 0.9 ms    \ R_{1} = R_{2} = R = 1 kΩ      0.69\ RC_{2} = 0.1ms

\ C_{2} = \frac{0.1 × 10^{−3}}{1 × 10^{3} × 0.69}  = 0.145 μF      0.69\ RC_{1} = 0.9 ms      \ C_{1} = \frac{0.9 × 10^{−3}}{1 × 10^{3} × 0.69}  = 1.30 μF

(c)    We have\ R = h_{FE}R_{C}

\ R_{C(min)} = \frac{R}{h_{FE}} = \frac{10 × 10^{3}}{50}  = 200 Ω

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