Theory A2-1 Italiano (Italy) Lenti elettrostatiche (10 punti) Parte A. Il potenziale elettrostatico sull’asse dell’anello. (1 punto) A.1 (0.3 pt)

) =

A.2 (0.4 pt)

)

A.3 (0.2 pt)

F(z) =

Cerchia la risposta corretta: q< 0 o q> 0. A.4 (0.1 pt)

ω=

Parte B. Potenziale elettrostatico nel piano dell’anello (1.7 punti) B.1 (1.5 pt)

β=

B.2 (0.2 pt)

F(r) =

Cerchia la risposta corretta: q< 0 o q> 0. Parte C. La lunghezza focale della lente elettrostatica idealizzata: processo di carica istantanea (2.3 punti) C.1 (1.3 pt)

f=

Theory A2-2 Italiano (Italy) C.2 (0.8 pt)

c=

C.3 (0.2 pt)

Cerchia la risposta esatta. L’equazione delle lenti sottili è: valid or not valid. Parte D. L’anello come condensatore (3 punti) D.1 (2.0 pt)

C=

Theory A2-3 Italiano (Italy) D.2 (1.0 pt)

Per 2v< t< d 2v, q(t) =

Per t> d 2v, q(t) =

q0 =

Carica sull’anello come funzione del tempo: Parte E. Lunghezza focale di una lente più realistica: processo di carica non istantanea (2 punti) E.1 (1.7 pt)

f=

Theory A2-4 Italiano (Italy) E.2 (0.3 pt)

qeff =

Topic: Electrostatics, Oscillations & Waves, Geometric Optics Metodi: Coulomb’s Law, Electric Potential Method, Approximation & Series Expansion, Simple Harmonic Motion Analysis, Calculus-Integration, Thin Lens & Mirror Equation Competenze: Mathematical Modeling, Physical Reasoning, Diagrammatic Reasoning Objects: Lens, Capacitor Fonte: Testo (PDF) — p.1 Soluzione: Soluzioni (PDF)

Theory A2-1 Italian (Italy) The following table shows the results of the calculations: Part A. The electrostatic potential on the ring axis. (a) the number of days A.1 (0.3 pt)

) =

A.2 (0.4 pt)

)

A.3 (0.2 pt)

F(z) =

Look for the right answer: q< 0 o q> 0. A.4 (0.1 pt)

ω=

Part B. Electrostatic potential in the plane of the ring (1.7 points) B.1 (1.5 pt)

β=

B.2 (0.2 pt)

F(r) =

Look for the right answer: q< 0 o q> 0. Part C. The focal length of the idealized electrostatic lens: instantaneous charging process (2.3 points) C.1 (1.3 pt)

f=

Theory A2-2 Italian (Italy) C.2 (0.8 pt)

c=

C.3 (0.2 pt)

Look for the right answer. The thin-lens equation is: valid or not valid. The following is the list of the following: The ring as a condenser (3 points) D.1 (2.0 pt)

C=

Theory A2-3 Italian (Italy) D.2 (1.0 pt)

For 2v< t< d 2v, q(t) =

For t> d 2v, q(t) =

q0 =

Load on the ring as a function of time: Part E. The focal length of a more realistic lens: non-instant loading process (2 (point) E.1 (1.7 pt)

f=

Theory A2-4 Italian (Italy) E.2 (0.3 pt)

What is this?

Topic: Electrostatics, Oscillations & Waves, Geometric Optics Metodi: Coulomb’s Law, Electric Potential Method, Approximation & Series Expansion, Simple Harmonic Motion Analysis, Calculus-Integration, Thin Lens & Mirror Equation Competenze: Mathematical Modeling, Physical Reasoning, Diagrammatic Reasoning Objects: Lens, Capacitor Fonte: Testo (PDF) — p.1 Soluzione: Soluzioni (PDF)