Weighted Occupancy - Revision history

Vanwdani at 19:59, 29 December 2018

2018-12-29T19:59:35Z

Vanwdani: /* Method 2 */

2018-07-27T15:58:46Z

Method 2

Vanwdani: /* Method 1 */

2018-07-27T15:53:52Z

Method 1

Vanwdani: /* Method 1 */

2018-07-27T15:53:06Z

Method 1

Vanwdani: /* 97234 incident electrons */

2018-07-27T15:41:17Z

97234 incident electrons

Vanwdani: /* 97234 incident electrons */

2018-07-25T05:05:55Z

97234 incident electrons

Vanwdani: /* 97234 incident electrons */

2018-07-25T05:01:47Z

97234 incident electrons

Vanwdani: /* 97234 incident electrons */

2018-07-25T05:00:07Z

97234 incident electrons

Vanwdani: /* 97234 incident electrons */

2018-07-25T04:59:35Z

97234 incident electrons

Vanwdani: /* 97234 incident electrons */

2018-07-25T04:48:19Z

97234 incident electrons

@@ Line 1: / Line 1: @@
 <pre>Total XSect=0.013866</pre>
 =97234 incident electrons=
@@ Line 120: / Line 129: @@
 <center>Occupancy(100nA)=<math>\frac{3698.7}{270}\frac{250E-9}{1.56E-7}\frac{1}{112}\frac{100}{12}=1.63\%</math></center>

@@ Line 111: / Line 111: @@
-<center>Occupancy(50nA)=<math>\frac{3698.7}{270}\frac{3.11E-7}{250E-9}\frac{1}{112}\frac{100}{12}=0.82\%</math></center>
+<center>Occupancy(50nA)=<math>\frac{3698.7}{270}\frac{250E-9}{3.11E-7}\frac{1}{112}\frac{100}{12}=0.82\%</math></center>
-<center>Occupancy(75nA)=<math>\frac{3698.7}{270}\frac{2.07E-7}{250E-9}\frac{1}{112}\frac{100}{12}=1.23\%</math></center>
+<center>Occupancy(75nA)=<math>\frac{3698.7}{270}\frac{250E-9}{2.07E-7}\frac{1}{112}\frac{100}{12}=1.23\%</math></center>
-<center>Occupancy(100nA)=<math>\frac{3698.7}{270}\frac{1.56E-7}{250E-9}\frac{1}{112}\frac{100}{12}=1.63\%</math></center>
+<center>Occupancy(100nA)=<math>\frac{3698.7}{270}\frac{250E-9}{1.56E-7}\frac{1}{112}\frac{100}{12}=1.63\%</math></center>

← Older revision		Revision as of 15:53, 27 July 2018
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	CEBAF has a bunch redition rate of 499MHz for hall B. For a current of 50nA, this implies:		CEBAF has a bunch redition rate of 499MHz for hall B. For a current of 50nA, this implies:

−	<center><math>\frac{\frac{50E-9\ A}{}\frac{1C}{1A}\frac{}{1s}\frac{1\ e^{-}}{1.602E-19\ C}}{499E6\ Hz}=\frac{\frac{312,109,863,672\ e^{-}}{s}}{499E6\ Hz}=625\ e^{-}<math></center>	+	<center><math>\frac{\frac{50E-9\ A}{}\frac{1C}{1A}\frac{}{1s}\frac{1\ e^{-}}{1.602E-19\ C}}{499E6\ Hz}=\frac{\frac{312,109,863,672\ e^{-}}{s}}{499E6\ Hz}=625\ e^{-}</math></center>

@@ Line 56: / Line 56: @@
-<center><math>t_{sim}(75nA)=\frac{N_{in}}{\frac{50E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{N_{in}}{468,164,794,007\ e^{-}/s}=250E-9\ s\rightarrow N_{in}=117041.2\ e^{-}</math></center>
+<center><math>t_{sim}(75nA)=\frac{N_{in}}{\frac{75E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{N_{in}}{468,164,794,007\ e^{-}/s}=250E-9\ s\rightarrow N_{in}=117041.2\ e^{-}</math></center>
-<center><math>t_{sim}(100nA)=\frac{N_{in}}{\frac{50E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{N_{in}}{624,219,725,343\ e^{-}/s}=250E-9\ s\rightarrow N_{in}=156054.9\ e^{-}</math></center>
+<center><math>t_{sim}(100nA)=\frac{N_{in}}{\frac{100E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{N_{in}}{624,219,725,343\ e^{-}/s}=250E-9\ s\rightarrow N_{in}=156054.9\ e^{-}</math></center>
-Additionally, if we declare that every 2ns consists of a bunch of 1000 electrons each, then
+CEBAF has a bunch redition rate of 499MHz for hall B.  For a current of 50nA, this implies:
-<center><math>\frac{78027.5\ e^{-}}{\left(\frac{1000\ e^{-}}{2E-9\ s}\right)}=78.041\times 2E-9\ s=1.56E-7\ s</math></center>
+<center><math>\frac{\frac{50E-9\ A}{}\frac{1C}{1A}\frac{}{1s}\frac{1\ e^{-}}{1.602E-19\ C}}{499E6\ Hz}=\frac{\frac{312,109,863,672\ e^{-}}{s}}{499E6\ Hz}=625\ e^{-}<math></center>
-<center><math>\frac{117041.2\ e^{-}}{\left(\frac{1000\ e^{-}}{2E-9\ s}\right)}=117.041\times 2E-9\ s=2.34E-7\ s</math></center>
+If we declare that every 2ns consists of a bunch of 625 electrons each, then
-<center><math>\frac{156054.9\ e^{-}}{\left(\frac{1000\ e^{-}}{2E-9\ s}\right)}=156.0549\times 2E-9\ s=3.12E-7\ s</math></center>
@@ Line 76: / Line 81: @@
-<center>Occupancy(50nA)=<math>1.01926\%\frac{1.56E-7\ s}{250E-9}=0.64\%</math></center>
+<center>Occupancy(50nA)=<math>1.01926\%\frac{2.50E-7\ s}{250E-9}=1\%</math></center>
 ==Method 2==

← Older revision		Revision as of 15:41, 27 July 2018
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−	<center><math>t_{sim}(75nA)=\frac{N_{in}}{\frac{~~50E~~-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{97234\ e^{-}}{468,164,794,007\ e^{-}/s}=2.07E-7\ s</math></center>	+	<center><math>t_{sim}(75nA)=\frac{N_{in}}{\frac{75E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{97234\ e^{-}}{468,164,794,007\ e^{-}/s}=2.07E-7\ s</math></center>


−	<center><math>t_{sim}(100nA)=\frac{N_{in}}{\frac{~~50E~~-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{97234\ e^{-}}{624,219,725,343\ e^{-}/s}=1.56E-7\ s</math></center>	+	<center><math>t_{sim}(100nA)=\frac{N_{in}}{\frac{100E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{97234\ e^{-}}{624,219,725,343\ e^{-}/s}=1.56E-7\ s</math></center>

@@ Line 48: / Line 48: @@
-<center>Occupancy(100nA)=<math>1.01926\%\frac{t_{sim}}{250E-9}</math></center>
+<center>Occupancy=<math>1.01926\%\frac{t_{sim}}{250E-9}</math></center>
@@ Line 64: / Line 64: @@
 Additionally, if we declare that every 2ns consists of a bunch of 1000 electrons each, then
-<center><math>\frac{78027.5\ e^{-}}{\frac{1000\ e^{-}}{2E-9\ s}}=78.041\times 2E-9\ s=1.56E-7\ s</math></center>
+<center><math>\frac{78027.5\ e^{-}}{\left(\frac{1000\ e^{-}}{2E-9\ s}\right)}=78.041\times 2E-9\ s=1.56E-7\ s</math></center>
-<center><math>\frac{117041.2\ e^{-}}{\frac{1000\ e^{-}}{2E-9\ s}}=117.041\times 2E-9\ s=2.34E-7\ s</math></center>
+<center><math>\frac{117041.2\ e^{-}}{\left(\frac{1000\ e^{-}}{2E-9\ s}\right)}=117.041\times 2E-9\ s=2.34E-7\ s</math></center>
 <center><math>\frac{156054.9\ e^{-}}{\left(\frac{1000\ e^{-}}{2E-9\ s}\right)}=156.0549\times 2E-9\ s=3.12E-7\ s</math></center>
 ==Method 2==

@@ Line 64: / Line 64: @@
 Additionally, if we declare that every 2ns consists of a bunch of 1000 electrons each, then
-<center><math>\frac{78027.5\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=78.041\times 2e-9\s=1.56E-7\ s</math></center>
+<center><math>\frac{78027.5\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=78.041\times 2E-9\ s=1.56E-7\ s</math></center>
-<center><math>\frac{117041.2\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=117.041\times 2e-9\s=2.34E-7\ s</math></center>
+<center><math>\frac{117041.2\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=117.041\times 2E-9\ s=2.34E-7\ s</math></center>
-<center><math>\frac{156054.9\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=156.0549\times 2e-9\s=3.12E-7\ s</math></center>
+<center><math>\frac{156054.9\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=156.0549\times 2E-9\ s=3.12E-7\ s</math></center>
 ==Method 2==

← Older revision		Revision as of 04:59, 25 July 2018
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	<center><math>t_{sim}(100nA)=\frac{N_{in}}{\frac{50E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{N_{in}}{624,219,725,343\ e^{-}/s}=250E-9\ s\rightarrow N_{in}=156054.9\ e^{-}</math></center>		<center><math>t_{sim}(100nA)=\frac{N_{in}}{\frac{50E-9\ A}{}\frac{1\ C}{1\ A}\frac{}{1\ s}\frac{1\ e^{-}}{1.602E-19\ C}}=\frac{N_{in}}{624,219,725,343\ e^{-}/s}=250E-9\ s\rightarrow N_{in}=156054.9\ e^{-}</math></center>

		+
		+	Additionally, if we declare that every 2ns consists of a bunch of 1000 electrons each, then
		+
		+	<center><math>\frac{78027.5\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=78.041\times 2e-9\s=1.56E-7\ s</math></center>
		+
		+
		+	<center><math>\frac{117041.2\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=117.041\times 2e-9\s=2.34E-7\ s</math></center>
		+
		+
		+	<center><math>\frac{156054.9\ e^{-}}{\frac{1000\ e^{-}}{2e-9\s}}=156.0549\times 2e-9\s=3.12E-7\ s</math></center>

	==Method 2==		==Method 2==

← Older revision		Revision as of 04:48, 25 July 2018
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−	<center>Occupancy(100nA)=<math>1.01926\%frac{t_{sim}}{250E-9}</math></center>	+	<center>Occupancy(100nA)=<math>1.01926\%\frac{t_{sim}}{250E-9}</math></center>