$1)$ An ac voltmeter uses a bridge rectifier with silicon diodes and a PMMC instrument with FSD $=75$A$.$ If the meter coil resistance is $900$ and the multiplier resistor is $708$ k $,$ calculate the applied rms voltage when the voltmeter indicates FSD$.(60$ V$)2)$ Determine the new multiplier resistance required for the voltmeter in Problem $1$ to change its range to $300$ V FSD$.(3\mathrm{.}59$M$)3)$ Determine the pointer position on the voltmeter in Problem $2$ when the applied rms voltage is $($a$)30$ V and $($b$)10$ V$.(9\mathrm{.}7\%,3\%)4)$ A PPMC instrument with a $900$ coil resistance and an FSD of $75$A is to be used with a half$-$wave rectifier circuit as an ac voltmeter. Silicon diodes are used, and the minimum diode forward current is to be $80$A when the instrument indicates $0\mathrm{.}25$ FSD$.$ Calculate the shunt and multiplier resistance values required to give $200$ V FSD$.(880\mathrm{.}9$k$)5)$ Calculate the sensitivity of the ac voltmeter in Problem $1.(12$k$/$V$)6)$ Calculate the sensitivity of the ac voltmeter in Problem $4.(4\mathrm{.}4$k$/$V$)7)$ A rectifier ammeter is to indicate full scale for a $1$ A rms current. The PMMC instrument used has a l$200$ coil resistance and $500$A FSD$,$ and the current transformer has Ns $=7000$ and Np $=10.$ Silicon diodes are used and the meter series resistance is Rs $=$ l$50$ k$.$ Determine the required secondary shunt resistance value. $(97\mathrm{.}6$k$)8)$ A rectifier ammeter has the following components: PMMC instrument with FSD $=200$A and Rm $=900$; current transformer with Ns $=600$ and Np $=5$; diodes with VF $=0\mathrm{.}3$ V; meter series resistance Rs $=270$ k$$; transformer shunt secondary resistance RL $=98\mathrm{.}7$ k$.$ Calculate the level of transformer primary current for instrument FSD$.(100$mA$)9)$ Calculate the sensitivity of the ac voltmeter in Example $3-9$ when diode D$2$ is $($a$)$ included in the circuit and $($b$)$ omitted from the circuit. $(2\mathrm{.}8$ k$/$V$,4$k$/$V$)10)$A PMMC instrument with $250$A FSD has a specified accuracy of $2\%.$ Calculate the measurement accuracy at currents of $200$A and l$00$A$.(2\mathrm{.}5\%,5\%)11)$A deflection instrument with $100$A FSD has a $3\%$ specified accuracy. Calculate the possible error when the meter indication is $($a$)50$A and $($b$)10$A$.(6\%,30\%)12)$A $25$A current is measured on an instrument with $37\mathrm{.}5$A FSD$.$ If the measurement is to be accurate to within $5\%,$ determine the required instrument accuracy.