EE 221 Practice Problems for the Final Exam

Transcription

1 EE 1 Practce Prblems fr the Fnal Exam 1. The netwrk functn f a crcut s 1.5 H. ω 1+ j 500 Ths table recrds frequency respnse data fr ths crcut. Fll n the blanks n the table:. The netwrk functn f a crcut s k H. ω 1+ j p Ths table recrds frequency respnse data fr ths crcut. Determne the values f p and k: p rad/s and k V/V 3. Here s a netwrk functn and crrespndng magntude Bde plt: Η V j ω V ω j 4ω s Determne the values f the cnstants k, z and p used t label the Bde plt: k, z rad/s and p rad/s. 1

2 4. Here s a crcut and crrespndng Bde plt. The netwrk functn f ths crcut s Η V V s. Determne the values f the resstance, R and capactance, C : R kω and C µf 5. Here s a magntude Bde plt and crrespndng netwrk functn: H ω ω j j 4 4 ω ω 1+ j 5+ j 4 8 Determne the values f the cnstants a, b, p 1, p and z used t label the Bde plt: a db, b db, p 1 rad/s, p rad/s and z rad/s. 6. The nput t the crcut s the vltage f the vltage surce, v (t). The utput s the vltage v (t). V ( ω ) H ( ω ) s the netwrk functn. The magntude bde plt that represents ths crcut s V ω The values f the crner frequences are z rad/sec and p rad/sec. The value f the lw frequency gan s k V/V.

3 7. Here s the same crcut represented n the tme dman and als n the cmplex frequency dman. Here s a plt f the nductr current. Determne the values f D and E used t represent the crcut n the cmplex frequency dman: D V and E V Determne the values f the resstance R and the nductance L: R Ω and L H 8. Here s the same crcut represented n the tme dman and als n the cmplex frequency dman. Determne the values f a, b and d used t represent the crcut n the cmplex frequency dman: a b and d 9. Gven that L as+ b vt () s + 40s where v ( t ) s the vltage shwn t the rght, determne the values f a and b. a V and b V 3

4 80. Determne the s + 8s + 5 values f the cnstant ceffcents a, b, and c: a 1/s, b V, and c V. 10. The Laplace transfrm f a vltage v( t) be sn ( ct) u( t) s V ( s) 11. The Laplace transfrm f a vltage v( t) b e ( c+ dt) u( t) s V ( s) s s 1 ( + 8s+ 16) the values f the cnstant ceffcents a, b, c and d: a 1/s, b V, c V and d V.. Determne 1. The nput t the crcut s the vltage f the vltage surce, v 4t step respnse s v () t e ( t) u() t 6 sn 5. t. The utput s the vltage v (t). The Determne the values f the gan, A, f the VCVS, the resstance, R, and the nductance, L. A V/V, R Ω and L H. 13. The nput t ths crcut s the vltage surce vltage, v () t. The utput s the vltage, v () t. The transfer functn f ths crcut s H s V 6 ( s) ( + 000)( ) V s s s Determne the values f R, L and C: r R kω, L H and C µf. R kω, L H and C µf. 4

5 1 14. The transfer functn f a crcut s H( s). The step respnse f ths crcut s: s + 8s+ 16 step respnse b e ( c + d t) u ( t). Determne the values f the cnstant ceffcents a, b, c and d: a 1/s, b V, c V and d V. H s s 15. The transfer functn f a crcut s sn 80 s. The step respnse f ths crcut s: + 8s + 5 step respnse b e c t u t. Determne the values f the cnstant ceffcents a, b, c and d: a 1/s, b V, and c V. 16. The nput t a lnear crcut s the vltage, v. The utput s the vltage, v. The transfer functn f the crcut s V ( s) H( s) V s The ples and zers f H( s ) are shwn n ths ple-zer dagram. (There are n zers.) The dc gan f the crcut s H ( 0) 5 5t t The step respnse f the crcut s v () t ( a be ce ) u( t) a, b and c. +. Determne the values f the cnstants V a V, b V and c V. 17. The nput t a crcut s the vltage surce vltage, v. The step respnse f the crcut s () ( 1 t v t e ) u() t V 4 Determne the value f the nductance, L, and f the resstance, R R Ω and L H. 5

6 18. The nput t a crcut s the vltage surce vltage, v. The step respnse f the crcut s t () ( + ) v t 51 1 t e u t V When the nput s v () t ( t+ ) the steady-state respnse s v () t A ( t+ θ ) Determne the values f A and θ. 5cs 45 V cs V A V and θ. 19. The nput t a crcut s the vltage v (t). The utput s the vltage v (t). When the nput s: () + + ( + ) v t 4cs (100 t) 5cs 00t 45 V the crrespndng utput s: () ( + ) v t cs (100t 135 ) c cs 00t θ V Determne the value f R, C, c, and θ : R kω, C μf, c V and θ 0 0. The transfer functn f a crcut s H( s). When the nput t ths crcut s snusdal, the utput s + 8 s als snusdal. Let ω 1 be the frequency at whch the utput snusd s twce as large as the nput snusd and let ω be the frequency at whch utput snusd s delayed by ne tenth perd wth respect t the nput snusd. Determne the values f ω 1 and ω. ω 1 rad/s and ω rad/s 6